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Finding the Fourth Proportional to 9,068.24, 12,517.32 and 5,342

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Solution

The fourth proportional to 9,068.24, 12,517.32 and 5,342 is: 7,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.24 : 12,517.32 = 5,342 : x
  2. Step 2: Convert to fraction form
    9,068.24/12,517.32 = 5,342/x
  3. Step 3: Cross multiply
    9,068.24x = 12,517.32 × 5,342
  4. Step 4: Simplify right side
    9,068.24x = 66,867,523.44
  5. Step 5: Solve for x
    x = 66,867,523.44/9,068.24
  6. Step 6: Final answer
    x = 7,373.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.