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Finding the Fourth Proportional to 9,116.79, 12,584.30 and 5,341.17

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Solution

The fourth proportional to 9,116.79, 12,584.30 and 5,341.17 is: 7,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.79 : 12,584.30 = 5,341.17 : x
  2. Step 2: Convert to fraction form
    9,116.79/12,584.30 = 5,341.17/x
  3. Step 3: Cross multiply
    9,116.79x = 12,584.30 × 5,341.17
  4. Step 4: Simplify right side
    9,116.79x = 67,214,858.93
  5. Step 5: Solve for x
    x = 67,214,858.93/9,116.79
  6. Step 6: Final answer
    x = 7,372.65

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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.