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Finding the Fourth Proportional to 9,148.92, 12,625.62 and 4,957.16

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Solution

The fourth proportional to 9,148.92, 12,625.62 and 4,957.16 is: 6,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.92 : 12,625.62 = 4,957.16 : x
  2. Step 2: Convert to fraction form
    9,148.92/12,625.62 = 4,957.16/x
  3. Step 3: Cross multiply
    9,148.92x = 12,625.62 × 4,957.16
  4. Step 4: Simplify right side
    9,148.92x = 62,587,218.44
  5. Step 5: Solve for x
    x = 62,587,218.44/9,148.92
  6. Step 6: Final answer
    x = 6,840.94

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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.