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Finding the Fourth Proportional to 9,554, 14,332.64 and 2,979.96

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Solution

The fourth proportional to 9,554, 14,332.64 and 2,979.96 is: 4,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554 : 14,332.64 = 2,979.96 : x
  2. Step 2: Convert to fraction form
    9,554/14,332.64 = 2,979.96/x
  3. Step 3: Cross multiply
    9,554x = 14,332.64 × 2,979.96
  4. Step 4: Simplify right side
    9,554x = 42,710,693.89
  5. Step 5: Solve for x
    x = 42,710,693.89/9,554
  6. Step 6: Final answer
    x = 4,470.45

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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.