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Finding the Fourth Proportional to 9,965.98, 13,753.16 and 5,489.76

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Solution

The fourth proportional to 9,965.98, 13,753.16 and 5,489.76 is: 7,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.98 : 13,753.16 = 5,489.76 : x
  2. Step 2: Convert to fraction form
    9,965.98/13,753.16 = 5,489.76/x
  3. Step 3: Cross multiply
    9,965.98x = 13,753.16 × 5,489.76
  4. Step 4: Simplify right side
    9,965.98x = 75,501,592.35
  5. Step 5: Solve for x
    x = 75,501,592.35/9,965.98
  6. Step 6: Final answer
    x = 7,575.93

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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.