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Finding the Fourth Proportional to 9,209.91, 12,711.34 and 5,432.86

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Solution

The fourth proportional to 9,209.91, 12,711.34 and 5,432.86 is: 7,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.91 : 12,711.34 = 5,432.86 : x
  2. Step 2: Convert to fraction form
    9,209.91/12,711.34 = 5,432.86/x
  3. Step 3: Cross multiply
    9,209.91x = 12,711.34 × 5,432.86
  4. Step 4: Simplify right side
    9,209.91x = 69,058,930.63
  5. Step 5: Solve for x
    x = 69,058,930.63/9,209.91
  6. Step 6: Final answer
    x = 7,498.33

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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.