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Finding the Fourth Proportional to 9,411.62, 13,001.54 and 7,520.72

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Solution

The fourth proportional to 9,411.62, 13,001.54 and 7,520.72 is: 10,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.62 : 13,001.54 = 7,520.72 : x
  2. Step 2: Convert to fraction form
    9,411.62/13,001.54 = 7,520.72/x
  3. Step 3: Cross multiply
    9,411.62x = 13,001.54 × 7,520.72
  4. Step 4: Simplify right side
    9,411.62x = 97,780,935.47
  5. Step 5: Solve for x
    x = 97,780,935.47/9,411.62
  6. Step 6: Final answer
    x = 10,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.