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Finding the Fourth Proportional to 9,765.98, 13,477.89 and 5,517.82

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Solution

The fourth proportional to 9,765.98, 13,477.89 and 5,517.82 is: 7,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.98 : 13,477.89 = 5,517.82 : x
  2. Step 2: Convert to fraction form
    9,765.98/13,477.89 = 5,517.82/x
  3. Step 3: Cross multiply
    9,765.98x = 13,477.89 × 5,517.82
  4. Step 4: Simplify right side
    9,765.98x = 74,368,543.41
  5. Step 5: Solve for x
    x = 74,368,543.41/9,765.98
  6. Step 6: Final answer
    x = 7,615.06

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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.