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Finding the Fourth Proportional to 9,493, 14,237.88 and 2,565.88

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Solution

The fourth proportional to 9,493, 14,237.88 and 2,565.88 is: 3,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 14,237.88 = 2,565.88 : x
  2. Step 2: Convert to fraction form
    9,493/14,237.88 = 2,565.88/x
  3. Step 3: Cross multiply
    9,493x = 14,237.88 × 2,565.88
  4. Step 4: Simplify right side
    9,493x = 36,532,691.53
  5. Step 5: Solve for x
    x = 36,532,691.53/9,493
  6. Step 6: Final answer
    x = 3,848.38

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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.