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Finding the Fourth Proportional to 9,680.84, 14,538.50 and 7,929.16

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Solution

The fourth proportional to 9,680.84, 14,538.50 and 7,929.16 is: 11,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.84 : 14,538.50 = 7,929.16 : x
  2. Step 2: Convert to fraction form
    9,680.84/14,538.50 = 7,929.16/x
  3. Step 3: Cross multiply
    9,680.84x = 14,538.50 × 7,929.16
  4. Step 4: Simplify right side
    9,680.84x = 115,278,092.66
  5. Step 5: Solve for x
    x = 115,278,092.66/9,680.84
  6. Step 6: Final answer
    x = 11,907.86

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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.