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Finding the Fourth Proportional to 9,940.38, 13,714.89 and 6,916.65

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Solution

The fourth proportional to 9,940.38, 13,714.89 and 6,916.65 is: 9,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.38 : 13,714.89 = 6,916.65 : x
  2. Step 2: Convert to fraction form
    9,940.38/13,714.89 = 6,916.65/x
  3. Step 3: Cross multiply
    9,940.38x = 13,714.89 × 6,916.65
  4. Step 4: Simplify right side
    9,940.38x = 94,861,093.92
  5. Step 5: Solve for x
    x = 94,861,093.92/9,940.38
  6. Step 6: Final answer
    x = 9,543.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.