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Finding the Fourth Proportional to 9,006.34, 12,432.54 and 5,470.69

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Solution

The fourth proportional to 9,006.34, 12,432.54 and 5,470.69 is: 7,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.34 : 12,432.54 = 5,470.69 : x
  2. Step 2: Convert to fraction form
    9,006.34/12,432.54 = 5,470.69/x
  3. Step 3: Cross multiply
    9,006.34x = 12,432.54 × 5,470.69
  4. Step 4: Simplify right side
    9,006.34x = 68,014,572.25
  5. Step 5: Solve for x
    x = 68,014,572.25/9,006.34
  6. Step 6: Final answer
    x = 7,551.85

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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.