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Finding the Fourth Proportional to 9,379.72, 12,944.10 and 5,188.04

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Solution

The fourth proportional to 9,379.72, 12,944.10 and 5,188.04 is: 7,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.72 : 12,944.10 = 5,188.04 : x
  2. Step 2: Convert to fraction form
    9,379.72/12,944.10 = 5,188.04/x
  3. Step 3: Cross multiply
    9,379.72x = 12,944.10 × 5,188.04
  4. Step 4: Simplify right side
    9,379.72x = 67,154,508.56
  5. Step 5: Solve for x
    x = 67,154,508.56/9,379.72
  6. Step 6: Final answer
    x = 7,159.54

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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.