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Finding the Fourth Proportional to 9,766.98, 13,478.43 and 5,290.73

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Solution

The fourth proportional to 9,766.98, 13,478.43 and 5,290.73 is: 7,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.98 : 13,478.43 = 5,290.73 : x
  2. Step 2: Convert to fraction form
    9,766.98/13,478.43 = 5,290.73/x
  3. Step 3: Cross multiply
    9,766.98x = 13,478.43 × 5,290.73
  4. Step 4: Simplify right side
    9,766.98x = 71,310,812.76
  5. Step 5: Solve for x
    x = 71,310,812.76/9,766.98
  6. Step 6: Final answer
    x = 7,301.21

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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.