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Finding the Fourth Proportional to 9,565,398.47, 14,357,346.06 and 9,046,932.13

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Solution

The fourth proportional to 9,565,398.47, 14,357,346.06 and 9,046,932.13 is: 13,579,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565,398.47 : 14,357,346.06 = 9,046,932.13 : x
  2. Step 2: Convert to fraction form
    9,565,398.47/14,357,346.06 = 9,046,932.13/x
  3. Step 3: Cross multiply
    9,565,398.47x = 14,357,346.06 × 9,046,932.13
  4. Step 4: Simplify right side
    9,565,398.47x = 129,889,935,299,956.19
  5. Step 5: Solve for x
    x = 129,889,935,299,956.19/9,565,398.47
  6. Step 6: Final answer
    x = 13,579,145.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.