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Finding the Fourth Proportional to 9,160.64, 12,641.48 and 4,968.90

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Solution

The fourth proportional to 9,160.64, 12,641.48 and 4,968.90 is: 6,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.64 : 12,641.48 = 4,968.90 : x
  2. Step 2: Convert to fraction form
    9,160.64/12,641.48 = 4,968.90/x
  3. Step 3: Cross multiply
    9,160.64x = 12,641.48 × 4,968.90
  4. Step 4: Simplify right side
    9,160.64x = 62,814,249.97
  5. Step 5: Solve for x
    x = 62,814,249.97/9,160.64
  6. Step 6: Final answer
    x = 6,856.97

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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.