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Finding the Fourth Proportional to 9,706.83, 13,398.09 and 5,677.14

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Solution

The fourth proportional to 9,706.83, 13,398.09 and 5,677.14 is: 7,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.83 : 13,398.09 = 5,677.14 : x
  2. Step 2: Convert to fraction form
    9,706.83/13,398.09 = 5,677.14/x
  3. Step 3: Cross multiply
    9,706.83x = 13,398.09 × 5,677.14
  4. Step 4: Simplify right side
    9,706.83x = 76,062,832.66
  5. Step 5: Solve for x
    x = 76,062,832.66/9,706.83
  6. Step 6: Final answer
    x = 7,836.01

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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.