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Finding the Fourth Proportional to 9,714, 14,559.68 and 4,158.96

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Solution

The fourth proportional to 9,714, 14,559.68 and 4,158.96 is: 6,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 14,559.68 = 4,158.96 : x
  2. Step 2: Convert to fraction form
    9,714/14,559.68 = 4,158.96/x
  3. Step 3: Cross multiply
    9,714x = 14,559.68 × 4,158.96
  4. Step 4: Simplify right side
    9,714x = 60,553,126.73
  5. Step 5: Solve for x
    x = 60,553,126.73/9,714
  6. Step 6: Final answer
    x = 6,233.59

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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.