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Finding the Fourth Proportional to 9,937.12, 13,683.18 and 9,718.42

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Solution

The fourth proportional to 9,937.12, 13,683.18 and 9,718.42 is: 13,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.12 : 13,683.18 = 9,718.42 : x
  2. Step 2: Convert to fraction form
    9,937.12/13,683.18 = 9,718.42/x
  3. Step 3: Cross multiply
    9,937.12x = 13,683.18 × 9,718.42
  4. Step 4: Simplify right side
    9,937.12x = 132,978,890.18
  5. Step 5: Solve for x
    x = 132,978,890.18/9,937.12
  6. Step 6: Final answer
    x = 13,382.04

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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.