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Finding the Fourth Proportional to 9,726.52, 14,593.74 and 4,529.20

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Solution

The fourth proportional to 9,726.52, 14,593.74 and 4,529.20 is: 6,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.52 : 14,593.74 = 4,529.20 : x
  2. Step 2: Convert to fraction form
    9,726.52/14,593.74 = 4,529.20/x
  3. Step 3: Cross multiply
    9,726.52x = 14,593.74 × 4,529.20
  4. Step 4: Simplify right side
    9,726.52x = 66,097,967.21
  5. Step 5: Solve for x
    x = 66,097,967.21/9,726.52
  6. Step 6: Final answer
    x = 6,795.64

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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.