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Finding the Fourth Proportional to 9,767.30, 13,478.78 and 5,290.78

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Solution

The fourth proportional to 9,767.30, 13,478.78 and 5,290.78 is: 7,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.30 : 13,478.78 = 5,290.78 : x
  2. Step 2: Convert to fraction form
    9,767.30/13,478.78 = 5,290.78/x
  3. Step 3: Cross multiply
    9,767.30x = 13,478.78 × 5,290.78
  4. Step 4: Simplify right side
    9,767.30x = 71,313,259.65
  5. Step 5: Solve for x
    x = 71,313,259.65/9,767.30
  6. Step 6: Final answer
    x = 7,301.23

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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.