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Finding the Fourth Proportional to 9,376, 14,062.44 and 4,691.04

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Solution

The fourth proportional to 9,376, 14,062.44 and 4,691.04 is: 7,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376 : 14,062.44 = 4,691.04 : x
  2. Step 2: Convert to fraction form
    9,376/14,062.44 = 4,691.04/x
  3. Step 3: Cross multiply
    9,376x = 14,062.44 × 4,691.04
  4. Step 4: Simplify right side
    9,376x = 65,967,468.54
  5. Step 5: Solve for x
    x = 65,967,468.54/9,376
  6. Step 6: Final answer
    x = 7,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.