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Finding the Fourth Proportional to 9,178.56, 12,654.63 and 7,917.16

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Solution

The fourth proportional to 9,178.56, 12,654.63 and 7,917.16 is: 10,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.56 : 12,654.63 = 7,917.16 : x
  2. Step 2: Convert to fraction form
    9,178.56/12,654.63 = 7,917.16/x
  3. Step 3: Cross multiply
    9,178.56x = 12,654.63 × 7,917.16
  4. Step 4: Simplify right side
    9,178.56x = 100,188,730.45
  5. Step 5: Solve for x
    x = 100,188,730.45/9,178.56
  6. Step 6: Final answer
    x = 10,915.52

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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.