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Finding the Fourth Proportional to 9,104.72, 12,562 and 5,125.60

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Solution

The fourth proportional to 9,104.72, 12,562 and 5,125.60 is: 7,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.72 : 12,562 = 5,125.60 : x
  2. Step 2: Convert to fraction form
    9,104.72/12,562 = 5,125.60/x
  3. Step 3: Cross multiply
    9,104.72x = 12,562 × 5,125.60
  4. Step 4: Simplify right side
    9,104.72x = 64,387,787.20
  5. Step 5: Solve for x
    x = 64,387,787.20/9,104.72
  6. Step 6: Final answer
    x = 7,071.91

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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.