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Finding the Fourth Proportional to 7,156.44, 9,871.34 and 5,169.90

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Solution

The fourth proportional to 7,156.44, 9,871.34 and 5,169.90 is: 7,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.44 : 9,871.34 = 5,169.90 : x
  2. Step 2: Convert to fraction form
    7,156.44/9,871.34 = 5,169.90/x
  3. Step 3: Cross multiply
    7,156.44x = 9,871.34 × 5,169.90
  4. Step 4: Simplify right side
    7,156.44x = 51,033,840.67
  5. Step 5: Solve for x
    x = 51,033,840.67/7,156.44
  6. Step 6: Final answer
    x = 7,131.18

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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.