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Finding the Fourth Proportional to 9,780.92, 13,497.54 and 5,589.08

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Solution

The fourth proportional to 9,780.92, 13,497.54 and 5,589.08 is: 7,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.92 : 13,497.54 = 5,589.08 : x
  2. Step 2: Convert to fraction form
    9,780.92/13,497.54 = 5,589.08/x
  3. Step 3: Cross multiply
    9,780.92x = 13,497.54 × 5,589.08
  4. Step 4: Simplify right side
    9,780.92x = 75,438,830.86
  5. Step 5: Solve for x
    x = 75,438,830.86/9,780.92
  6. Step 6: Final answer
    x = 7,712.86

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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.