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Finding the Fourth Proportional to 9,042, 12,480.12 and 5,318.16

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Solution

The fourth proportional to 9,042, 12,480.12 and 5,318.16 is: 7,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042 : 12,480.12 = 5,318.16 : x
  2. Step 2: Convert to fraction form
    9,042/12,480.12 = 5,318.16/x
  3. Step 3: Cross multiply
    9,042x = 12,480.12 × 5,318.16
  4. Step 4: Simplify right side
    9,042x = 66,371,274.98
  5. Step 5: Solve for x
    x = 66,371,274.98/9,042
  6. Step 6: Final answer
    x = 7,340.33

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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.