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Finding the Fourth Proportional to 7,156.44, 9,874.97 and 4,171.53

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Solution

The fourth proportional to 7,156.44, 9,874.97 and 4,171.53 is: 5,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.44 : 9,874.97 = 4,171.53 : x
  2. Step 2: Convert to fraction form
    7,156.44/9,874.97 = 4,171.53/x
  3. Step 3: Cross multiply
    7,156.44x = 9,874.97 × 4,171.53
  4. Step 4: Simplify right side
    7,156.44x = 41,193,707.00
  5. Step 5: Solve for x
    x = 41,193,707.00/7,156.44
  6. Step 6: Final answer
    x = 5,756.17

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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.