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Finding the Fourth Proportional to 9,116.60, 12,584.04 and 5,340.96

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Solution

The fourth proportional to 9,116.60, 12,584.04 and 5,340.96 is: 7,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.60 : 12,584.04 = 5,340.96 : x
  2. Step 2: Convert to fraction form
    9,116.60/12,584.04 = 5,340.96/x
  3. Step 3: Cross multiply
    9,116.60x = 12,584.04 × 5,340.96
  4. Step 4: Simplify right side
    9,116.60x = 67,210,854.28
  5. Step 5: Solve for x
    x = 67,210,854.28/9,116.60
  6. Step 6: Final answer
    x = 7,372.36

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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.