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Finding the Fourth Proportional to 9,354.88, 14,034.48 and 2,780.92

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Solution

The fourth proportional to 9,354.88, 14,034.48 and 2,780.92 is: 4,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.88 : 14,034.48 = 2,780.92 : x
  2. Step 2: Convert to fraction form
    9,354.88/14,034.48 = 2,780.92/x
  3. Step 3: Cross multiply
    9,354.88x = 14,034.48 × 2,780.92
  4. Step 4: Simplify right side
    9,354.88x = 39,028,766.12
  5. Step 5: Solve for x
    x = 39,028,766.12/9,354.88
  6. Step 6: Final answer
    x = 4,172.02

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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.