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Finding the Fourth Proportional to 9,279.53, 13,897.42 and 7,182.74

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Solution

The fourth proportional to 9,279.53, 13,897.42 and 7,182.74 is: 10,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.53 : 13,897.42 = 7,182.74 : x
  2. Step 2: Convert to fraction form
    9,279.53/13,897.42 = 7,182.74/x
  3. Step 3: Cross multiply
    9,279.53x = 13,897.42 × 7,182.74
  4. Step 4: Simplify right side
    9,279.53x = 99,821,554.53
  5. Step 5: Solve for x
    x = 99,821,554.53/9,279.53
  6. Step 6: Final answer
    x = 10,757.18

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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.