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Finding the Fourth Proportional to 9,387.84, 14,085.67 and 4,120.13

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Solution

The fourth proportional to 9,387.84, 14,085.67 and 4,120.13 is: 6,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.84 : 14,085.67 = 4,120.13 : x
  2. Step 2: Convert to fraction form
    9,387.84/14,085.67 = 4,120.13/x
  3. Step 3: Cross multiply
    9,387.84x = 14,085.67 × 4,120.13
  4. Step 4: Simplify right side
    9,387.84x = 58,034,791.54
  5. Step 5: Solve for x
    x = 58,034,791.54/9,387.84
  6. Step 6: Final answer
    x = 6,181.91

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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.