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Finding the Fourth Proportional to 7,151.76, 9,868.95 and 3,965.00

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Solution

The fourth proportional to 7,151.76, 9,868.95 and 3,965.00 is: 5,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.76 : 9,868.95 = 3,965.00 : x
  2. Step 2: Convert to fraction form
    7,151.76/9,868.95 = 3,965.00/x
  3. Step 3: Cross multiply
    7,151.76x = 9,868.95 × 3,965.00
  4. Step 4: Simplify right side
    7,151.76x = 39,130,337.41
  5. Step 5: Solve for x
    x = 39,130,337.41/7,151.76
  6. Step 6: Final answer
    x = 5,471.43

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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.