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Finding the Fourth Proportional to 9,367.32, 12,944 and 8,911.74

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Solution

The fourth proportional to 9,367.32, 12,944 and 8,911.74 is: 12,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.32 : 12,944 = 8,911.74 : x
  2. Step 2: Convert to fraction form
    9,367.32/12,944 = 8,911.74/x
  3. Step 3: Cross multiply
    9,367.32x = 12,944 × 8,911.74
  4. Step 4: Simplify right side
    9,367.32x = 115,353,562.56
  5. Step 5: Solve for x
    x = 115,353,562.56/9,367.32
  6. Step 6: Final answer
    x = 12,314.47

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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.