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Finding the Fourth Proportional to 7,152.72, 9,869.95 and 3,965.93

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Solution

The fourth proportional to 7,152.72, 9,869.95 and 3,965.93 is: 5,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.72 : 9,869.95 = 3,965.93 : x
  2. Step 2: Convert to fraction form
    7,152.72/9,869.95 = 3,965.93/x
  3. Step 3: Cross multiply
    7,152.72x = 9,869.95 × 3,965.93
  4. Step 4: Simplify right side
    7,152.72x = 39,143,530.80
  5. Step 5: Solve for x
    x = 39,143,530.80/7,152.72
  6. Step 6: Final answer
    x = 5,472.54

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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.