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Finding the Fourth Proportional to 9,660.72, 13,318.70 and 8,259.46

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Solution

The fourth proportional to 9,660.72, 13,318.70 and 8,259.46 is: 11,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.72 : 13,318.70 = 8,259.46 : x
  2. Step 2: Convert to fraction form
    9,660.72/13,318.70 = 8,259.46/x
  3. Step 3: Cross multiply
    9,660.72x = 13,318.70 × 8,259.46
  4. Step 4: Simplify right side
    9,660.72x = 110,005,241.77
  5. Step 5: Solve for x
    x = 110,005,241.77/9,660.72
  6. Step 6: Final answer
    x = 11,386.86

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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.