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Finding the Fourth Proportional to 9,152.67, 12,631.25 and 5,174.46

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Solution

The fourth proportional to 9,152.67, 12,631.25 and 5,174.46 is: 7,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.67 : 12,631.25 = 5,174.46 : x
  2. Step 2: Convert to fraction form
    9,152.67/12,631.25 = 5,174.46/x
  3. Step 3: Cross multiply
    9,152.67x = 12,631.25 × 5,174.46
  4. Step 4: Simplify right side
    9,152.67x = 65,359,897.88
  5. Step 5: Solve for x
    x = 65,359,897.88/9,152.67
  6. Step 6: Final answer
    x = 7,141.07

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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.