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Finding the Fourth Proportional to 7,151.21, 9,868.19 and 3,964.22

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Solution

The fourth proportional to 7,151.21, 9,868.19 and 3,964.22 is: 5,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.21 : 9,868.19 = 3,964.22 : x
  2. Step 2: Convert to fraction form
    7,151.21/9,868.19 = 3,964.22/x
  3. Step 3: Cross multiply
    7,151.21x = 9,868.19 × 3,964.22
  4. Step 4: Simplify right side
    7,151.21x = 39,119,607.00
  5. Step 5: Solve for x
    x = 39,119,607.00/7,151.21
  6. Step 6: Final answer
    x = 5,470.35

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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.