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Finding the Fourth Proportional to 7,174.74, 9,898.14 and 5,180.94

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Solution

The fourth proportional to 7,174.74, 9,898.14 and 5,180.94 is: 7,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.74 : 9,898.14 = 5,180.94 : x
  2. Step 2: Convert to fraction form
    7,174.74/9,898.14 = 5,180.94/x
  3. Step 3: Cross multiply
    7,174.74x = 9,898.14 × 5,180.94
  4. Step 4: Simplify right side
    7,174.74x = 51,281,669.45
  5. Step 5: Solve for x
    x = 51,281,669.45/7,174.74
  6. Step 6: Final answer
    x = 7,147.53

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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.