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Finding the Fourth Proportional to 9,781.65, 14,672.33 and 3,938.11

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Solution

The fourth proportional to 9,781.65, 14,672.33 and 3,938.11 is: 5,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.65 : 14,672.33 = 3,938.11 : x
  2. Step 2: Convert to fraction form
    9,781.65/14,672.33 = 3,938.11/x
  3. Step 3: Cross multiply
    9,781.65x = 14,672.33 × 3,938.11
  4. Step 4: Simplify right side
    9,781.65x = 57,781,193.12
  5. Step 5: Solve for x
    x = 57,781,193.12/9,781.65
  6. Step 6: Final answer
    x = 5,907.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.