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Finding the Fourth Proportional to 9,126.70, 13,677.64 and 3,857.35

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Solution

The fourth proportional to 9,126.70, 13,677.64 and 3,857.35 is: 5,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.70 : 13,677.64 = 3,857.35 : x
  2. Step 2: Convert to fraction form
    9,126.70/13,677.64 = 3,857.35/x
  3. Step 3: Cross multiply
    9,126.70x = 13,677.64 × 3,857.35
  4. Step 4: Simplify right side
    9,126.70x = 52,759,444.65
  5. Step 5: Solve for x
    x = 52,759,444.65/9,126.70
  6. Step 6: Final answer
    x = 5,780.78

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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.