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Finding the Fourth Proportional to 9,342.60, 14,013.84 and 2,768.82

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Solution

The fourth proportional to 9,342.60, 14,013.84 and 2,768.82 is: 4,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.60 : 14,013.84 = 2,768.82 : x
  2. Step 2: Convert to fraction form
    9,342.60/14,013.84 = 2,768.82/x
  3. Step 3: Cross multiply
    9,342.60x = 14,013.84 × 2,768.82
  4. Step 4: Simplify right side
    9,342.60x = 38,801,800.47
  5. Step 5: Solve for x
    x = 38,801,800.47/9,342.60
  6. Step 6: Final answer
    x = 4,153.21

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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.