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Finding the Fourth Proportional to 9,708.17, 13,383.15 and 6,866.69

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Solution

The fourth proportional to 9,708.17, 13,383.15 and 6,866.69 is: 9,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.17 : 13,383.15 = 6,866.69 : x
  2. Step 2: Convert to fraction form
    9,708.17/13,383.15 = 6,866.69/x
  3. Step 3: Cross multiply
    9,708.17x = 13,383.15 × 6,866.69
  4. Step 4: Simplify right side
    9,708.17x = 91,897,875.36
  5. Step 5: Solve for x
    x = 91,897,875.36/9,708.17
  6. Step 6: Final answer
    x = 9,466.04

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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.