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Finding the Fourth Proportional to 6,102, 8,421.12 and 3,713.70

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Solution

The fourth proportional to 6,102, 8,421.12 and 3,713.70 is: 5,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,421.12 = 3,713.70 : x
  2. Step 2: Convert to fraction form
    6,102/8,421.12 = 3,713.70/x
  3. Step 3: Cross multiply
    6,102x = 8,421.12 × 3,713.70
  4. Step 4: Simplify right side
    6,102x = 31,273,513.34
  5. Step 5: Solve for x
    x = 31,273,513.34/6,102
  6. Step 6: Final answer
    x = 5,125.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.