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Finding the Fourth Proportional to 6,426.60, 9,593.40 and 5,945.64

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Solution

The fourth proportional to 6,426.60, 9,593.40 and 5,945.64 is: 8,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.60 : 9,593.40 = 5,945.64 : x
  2. Step 2: Convert to fraction form
    6,426.60/9,593.40 = 5,945.64/x
  3. Step 3: Cross multiply
    6,426.60x = 9,593.40 × 5,945.64
  4. Step 4: Simplify right side
    6,426.60x = 57,038,902.78
  5. Step 5: Solve for x
    x = 57,038,902.78/6,426.60
  6. Step 6: Final answer
    x = 8,875.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.