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Finding the Fourth Proportional to 9,432.50, 13,013.10 and 6,599.12

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Solution

The fourth proportional to 9,432.50, 13,013.10 and 6,599.12 is: 9,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.50 : 13,013.10 = 6,599.12 : x
  2. Step 2: Convert to fraction form
    9,432.50/13,013.10 = 6,599.12/x
  3. Step 3: Cross multiply
    9,432.50x = 13,013.10 × 6,599.12
  4. Step 4: Simplify right side
    9,432.50x = 85,875,008.47
  5. Step 5: Solve for x
    x = 85,875,008.47/9,432.50
  6. Step 6: Final answer
    x = 9,104.16

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