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Finding the Fourth Proportional to 9,723.74, 13,411.35 and 8,381.66

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Solution

The fourth proportional to 9,723.74, 13,411.35 and 8,381.66 is: 11,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.74 : 13,411.35 = 8,381.66 : x
  2. Step 2: Convert to fraction form
    9,723.74/13,411.35 = 8,381.66/x
  3. Step 3: Cross multiply
    9,723.74x = 13,411.35 × 8,381.66
  4. Step 4: Simplify right side
    9,723.74x = 112,409,308.78
  5. Step 5: Solve for x
    x = 112,409,308.78/9,723.74
  6. Step 6: Final answer
    x = 11,560.30

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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.