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Finding the Fourth Proportional to 9,446.46, 13,034.93 and 6,386.97

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Solution

The fourth proportional to 9,446.46, 13,034.93 and 6,386.97 is: 8,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.46 : 13,034.93 = 6,386.97 : x
  2. Step 2: Convert to fraction form
    9,446.46/13,034.93 = 6,386.97/x
  3. Step 3: Cross multiply
    9,446.46x = 13,034.93 × 6,386.97
  4. Step 4: Simplify right side
    9,446.46x = 83,253,706.86
  5. Step 5: Solve for x
    x = 83,253,706.86/9,446.46
  6. Step 6: Final answer
    x = 8,813.22

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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.