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Finding the Fourth Proportional to 9,160.40, 12,641.32 and 4,968.64

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Solution

The fourth proportional to 9,160.40, 12,641.32 and 4,968.64 is: 6,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.40 : 12,641.32 = 4,968.64 : x
  2. Step 2: Convert to fraction form
    9,160.40/12,641.32 = 4,968.64/x
  3. Step 3: Cross multiply
    9,160.40x = 12,641.32 × 4,968.64
  4. Step 4: Simplify right side
    9,160.40x = 62,810,168.20
  5. Step 5: Solve for x
    x = 62,810,168.20/9,160.40
  6. Step 6: Final answer
    x = 6,856.71

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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.