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Finding the Fourth Proportional to 9,098.97, 12,558.95 and 5,565.14

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Solution

The fourth proportional to 9,098.97, 12,558.95 and 5,565.14 is: 7,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.97 : 12,558.95 = 5,565.14 : x
  2. Step 2: Convert to fraction form
    9,098.97/12,558.95 = 5,565.14/x
  3. Step 3: Cross multiply
    9,098.97x = 12,558.95 × 5,565.14
  4. Step 4: Simplify right side
    9,098.97x = 69,892,292.35
  5. Step 5: Solve for x
    x = 69,892,292.35/9,098.97
  6. Step 6: Final answer
    x = 7,681.34

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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.