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Finding the Fourth Proportional to 9,186.75, 13,780.80 and 6,737.04

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Solution

The fourth proportional to 9,186.75, 13,780.80 and 6,737.04 is: 10,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 13,780.80 = 6,737.04 : x
  2. Step 2: Convert to fraction form
    9,186.75/13,780.80 = 6,737.04/x
  3. Step 3: Cross multiply
    9,186.75x = 13,780.80 × 6,737.04
  4. Step 4: Simplify right side
    9,186.75x = 92,841,800.83
  5. Step 5: Solve for x
    x = 92,841,800.83/9,186.75
  6. Step 6: Final answer
    x = 10,106.06

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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.