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Finding the Fourth Proportional to 9,354.74, 14,034.74 and 2,781.18

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Solution

The fourth proportional to 9,354.74, 14,034.74 and 2,781.18 is: 4,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.74 : 14,034.74 = 2,781.18 : x
  2. Step 2: Convert to fraction form
    9,354.74/14,034.74 = 2,781.18/x
  3. Step 3: Cross multiply
    9,354.74x = 14,034.74 × 2,781.18
  4. Step 4: Simplify right side
    9,354.74x = 39,033,124.29
  5. Step 5: Solve for x
    x = 39,033,124.29/9,354.74
  6. Step 6: Final answer
    x = 4,172.55

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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.