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Finding the Fourth Proportional to 9,337.74, 14,002.20 and 3,410.46

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Solution

The fourth proportional to 9,337.74, 14,002.20 and 3,410.46 is: 5,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.74 : 14,002.20 = 3,410.46 : x
  2. Step 2: Convert to fraction form
    9,337.74/14,002.20 = 3,410.46/x
  3. Step 3: Cross multiply
    9,337.74x = 14,002.20 × 3,410.46
  4. Step 4: Simplify right side
    9,337.74x = 47,753,943.01
  5. Step 5: Solve for x
    x = 47,753,943.01/9,337.74
  6. Step 6: Final answer
    x = 5,114.08

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