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Finding the Fourth Proportional to 9,349.76, 14,013.86 and 3,797

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Solution

The fourth proportional to 9,349.76, 14,013.86 and 3,797 is: 5,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.76 : 14,013.86 = 3,797 : x
  2. Step 2: Convert to fraction form
    9,349.76/14,013.86 = 3,797/x
  3. Step 3: Cross multiply
    9,349.76x = 14,013.86 × 3,797
  4. Step 4: Simplify right side
    9,349.76x = 53,210,626.42
  5. Step 5: Solve for x
    x = 53,210,626.42/9,349.76
  6. Step 6: Final answer
    x = 5,691.13

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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.