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Finding the Fourth Proportional to 7,151.72, 9,868.58 and 3,964.93

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Solution

The fourth proportional to 7,151.72, 9,868.58 and 3,964.93 is: 5,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.72 : 9,868.58 = 3,964.93 : x
  2. Step 2: Convert to fraction form
    7,151.72/9,868.58 = 3,964.93/x
  3. Step 3: Cross multiply
    7,151.72x = 9,868.58 × 3,964.93
  4. Step 4: Simplify right side
    7,151.72x = 39,128,184.40
  5. Step 5: Solve for x
    x = 39,128,184.40/7,151.72
  6. Step 6: Final answer
    x = 5,471.16

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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.