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Finding the Fourth Proportional to 9,766.98, 13,478.36 and 5,575.22

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Solution

The fourth proportional to 9,766.98, 13,478.36 and 5,575.22 is: 7,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.98 : 13,478.36 = 5,575.22 : x
  2. Step 2: Convert to fraction form
    9,766.98/13,478.36 = 5,575.22/x
  3. Step 3: Cross multiply
    9,766.98x = 13,478.36 × 5,575.22
  4. Step 4: Simplify right side
    9,766.98x = 75,144,822.24
  5. Step 5: Solve for x
    x = 75,144,822.24/9,766.98
  6. Step 6: Final answer
    x = 7,693.76

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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.