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Finding the Fourth Proportional to 9,532.68, 14,363.52 and 7,925.10

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Solution

The fourth proportional to 9,532.68, 14,363.52 and 7,925.10 is: 11,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.68 : 14,363.52 = 7,925.10 : x
  2. Step 2: Convert to fraction form
    9,532.68/14,363.52 = 7,925.10/x
  3. Step 3: Cross multiply
    9,532.68x = 14,363.52 × 7,925.10
  4. Step 4: Simplify right side
    9,532.68x = 113,832,332.35
  5. Step 5: Solve for x
    x = 113,832,332.35/9,532.68
  6. Step 6: Final answer
    x = 11,941.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.