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Finding the Fourth Proportional to 9,503.38, 14,255.12 and 2,577.88

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Solution

The fourth proportional to 9,503.38, 14,255.12 and 2,577.88 is: 3,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.38 : 14,255.12 = 2,577.88 : x
  2. Step 2: Convert to fraction form
    9,503.38/14,255.12 = 2,577.88/x
  3. Step 3: Cross multiply
    9,503.38x = 14,255.12 × 2,577.88
  4. Step 4: Simplify right side
    9,503.38x = 36,747,904.58
  5. Step 5: Solve for x
    x = 36,747,904.58/9,503.38
  6. Step 6: Final answer
    x = 3,866.83

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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.