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Finding the Fourth Proportional to 9,717.82, 13,422.69 and 8,773.16

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Solution

The fourth proportional to 9,717.82, 13,422.69 and 8,773.16 is: 12,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.82 : 13,422.69 = 8,773.16 : x
  2. Step 2: Convert to fraction form
    9,717.82/13,422.69 = 8,773.16/x
  3. Step 3: Cross multiply
    9,717.82x = 13,422.69 × 8,773.16
  4. Step 4: Simplify right side
    9,717.82x = 117,759,339.89
  5. Step 5: Solve for x
    x = 117,759,339.89/9,717.82
  6. Step 6: Final answer
    x = 12,117.88

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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.