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Finding the Fourth Proportional to 9,152.92, 12,630.95 and 5,174.03

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Solution

The fourth proportional to 9,152.92, 12,630.95 and 5,174.03 is: 7,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.92 : 12,630.95 = 5,174.03 : x
  2. Step 2: Convert to fraction form
    9,152.92/12,630.95 = 5,174.03/x
  3. Step 3: Cross multiply
    9,152.92x = 12,630.95 × 5,174.03
  4. Step 4: Simplify right side
    9,152.92x = 65,352,897.39
  5. Step 5: Solve for x
    x = 65,352,897.39/9,152.92
  6. Step 6: Final answer
    x = 7,140.12

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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.