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Finding the Fourth Proportional to 6,937.11, 9,572.90 and 4,142.07

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Solution

The fourth proportional to 6,937.11, 9,572.90 and 4,142.07 is: 5,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.11 : 9,572.90 = 4,142.07 : x
  2. Step 2: Convert to fraction form
    6,937.11/9,572.90 = 4,142.07/x
  3. Step 3: Cross multiply
    6,937.11x = 9,572.90 × 4,142.07
  4. Step 4: Simplify right side
    6,937.11x = 39,651,601.19
  5. Step 5: Solve for x
    x = 39,651,601.19/6,937.11
  6. Step 6: Final answer
    x = 5,715.87

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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.