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Finding the Fourth Proportional to 6,478.48, 9,717.87 and 4,845.39

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Solution

The fourth proportional to 6,478.48, 9,717.87 and 4,845.39 is: 7,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.48 : 9,717.87 = 4,845.39 : x
  2. Step 2: Convert to fraction form
    6,478.48/9,717.87 = 4,845.39/x
  3. Step 3: Cross multiply
    6,478.48x = 9,717.87 × 4,845.39
  4. Step 4: Simplify right side
    6,478.48x = 47,086,870.12
  5. Step 5: Solve for x
    x = 47,086,870.12/6,478.48
  6. Step 6: Final answer
    x = 7,268.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.