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Finding the Fourth Proportional to 6,656.57, 9,186.97 and 4,298.25

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Solution

The fourth proportional to 6,656.57, 9,186.97 and 4,298.25 is: 5,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.57 : 9,186.97 = 4,298.25 : x
  2. Step 2: Convert to fraction form
    6,656.57/9,186.97 = 4,298.25/x
  3. Step 3: Cross multiply
    6,656.57x = 9,186.97 × 4,298.25
  4. Step 4: Simplify right side
    6,656.57x = 39,487,893.80
  5. Step 5: Solve for x
    x = 39,487,893.80/6,656.57
  6. Step 6: Final answer
    x = 5,932.17

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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.