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Finding the Fourth Proportional to 9,398.53, 14,098.13 and 3,158.74

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Solution

The fourth proportional to 9,398.53, 14,098.13 and 3,158.74 is: 4,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.53 : 14,098.13 = 3,158.74 : x
  2. Step 2: Convert to fraction form
    9,398.53/14,098.13 = 3,158.74/x
  3. Step 3: Cross multiply
    9,398.53x = 14,098.13 × 3,158.74
  4. Step 4: Simplify right side
    9,398.53x = 44,532,327.16
  5. Step 5: Solve for x
    x = 44,532,327.16/9,398.53
  6. Step 6: Final answer
    x = 4,738.22

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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.