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Finding the Fourth Proportional to 9,829.92, 13,565.88 and 6,998.16

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Solution

The fourth proportional to 9,829.92, 13,565.88 and 6,998.16 is: 9,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.92 : 13,565.88 = 6,998.16 : x
  2. Step 2: Convert to fraction form
    9,829.92/13,565.88 = 6,998.16/x
  3. Step 3: Cross multiply
    9,829.92x = 13,565.88 × 6,998.16
  4. Step 4: Simplify right side
    9,829.92x = 94,936,198.78
  5. Step 5: Solve for x
    x = 94,936,198.78/9,829.92
  6. Step 6: Final answer
    x = 9,657.88

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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.