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Finding the Fourth Proportional to 7,152.52, 9,870.17 and 3,965.80

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Solution

The fourth proportional to 7,152.52, 9,870.17 and 3,965.80 is: 5,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.52 : 9,870.17 = 3,965.80 : x
  2. Step 2: Convert to fraction form
    7,152.52/9,870.17 = 3,965.80/x
  3. Step 3: Cross multiply
    7,152.52x = 9,870.17 × 3,965.80
  4. Step 4: Simplify right side
    7,152.52x = 39,143,120.19
  5. Step 5: Solve for x
    x = 39,143,120.19/7,152.52
  6. Step 6: Final answer
    x = 5,472.63

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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.