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Finding the Fourth Proportional to 9,152.88, 12,631.68 and 5,174.07

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Solution

The fourth proportional to 9,152.88, 12,631.68 and 5,174.07 is: 7,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.88 : 12,631.68 = 5,174.07 : x
  2. Step 2: Convert to fraction form
    9,152.88/12,631.68 = 5,174.07/x
  3. Step 3: Cross multiply
    9,152.88x = 12,631.68 × 5,174.07
  4. Step 4: Simplify right side
    9,152.88x = 65,357,196.54
  5. Step 5: Solve for x
    x = 65,357,196.54/9,152.88
  6. Step 6: Final answer
    x = 7,140.62

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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.