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Finding the Fourth Proportional to 9,160.64, 12,641.72 and 4,968.92

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Solution

The fourth proportional to 9,160.64, 12,641.72 and 4,968.92 is: 6,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.64 : 12,641.72 = 4,968.92 : x
  2. Step 2: Convert to fraction form
    9,160.64/12,641.72 = 4,968.92/x
  3. Step 3: Cross multiply
    9,160.64x = 12,641.72 × 4,968.92
  4. Step 4: Simplify right side
    9,160.64x = 62,815,695.34
  5. Step 5: Solve for x
    x = 62,815,695.34/9,160.64
  6. Step 6: Final answer
    x = 6,857.13

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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.