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Finding the Fourth Proportional to 9,766.80, 13,478.09 and 5,290.28

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Solution

The fourth proportional to 9,766.80, 13,478.09 and 5,290.28 is: 7,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.80 : 13,478.09 = 5,290.28 : x
  2. Step 2: Convert to fraction form
    9,766.80/13,478.09 = 5,290.28/x
  3. Step 3: Cross multiply
    9,766.80x = 13,478.09 × 5,290.28
  4. Step 4: Simplify right side
    9,766.80x = 71,302,869.97
  5. Step 5: Solve for x
    x = 71,302,869.97/9,766.80
  6. Step 6: Final answer
    x = 7,300.54

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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.