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Finding the Fourth Proportional to 9,732.68, 14,616.63 and 8,951.28

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Solution

The fourth proportional to 9,732.68, 14,616.63 and 8,951.28 is: 13,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.68 : 14,616.63 = 8,951.28 : x
  2. Step 2: Convert to fraction form
    9,732.68/14,616.63 = 8,951.28/x
  3. Step 3: Cross multiply
    9,732.68x = 14,616.63 × 8,951.28
  4. Step 4: Simplify right side
    9,732.68x = 130,837,547.79
  5. Step 5: Solve for x
    x = 130,837,547.79/9,732.68
  6. Step 6: Final answer
    x = 13,443.12

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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.