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Finding the Fourth Proportional to 6,937.69, 9,572.16 and 3,953.46

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Solution

The fourth proportional to 6,937.69, 9,572.16 and 3,953.46 is: 5,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.69 : 9,572.16 = 3,953.46 : x
  2. Step 2: Convert to fraction form
    6,937.69/9,572.16 = 3,953.46/x
  3. Step 3: Cross multiply
    6,937.69x = 9,572.16 × 3,953.46
  4. Step 4: Simplify right side
    6,937.69x = 37,843,084.05
  5. Step 5: Solve for x
    x = 37,843,084.05/6,937.69
  6. Step 6: Final answer
    x = 5,454.71

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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.