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Finding the Fourth Proportional to 6,656.52, 9,119.42 and 6,407.28

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Solution

The fourth proportional to 6,656.52, 9,119.42 and 6,407.28 is: 8,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.52 : 9,119.42 = 6,407.28 : x
  2. Step 2: Convert to fraction form
    6,656.52/9,119.42 = 6,407.28/x
  3. Step 3: Cross multiply
    6,656.52x = 9,119.42 × 6,407.28
  4. Step 4: Simplify right side
    6,656.52x = 58,430,677.38
  5. Step 5: Solve for x
    x = 58,430,677.38/6,656.52
  6. Step 6: Final answer
    x = 8,777.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.