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Finding the Fourth Proportional to 6,319.78, 9,471.75 and 4,864.42

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Solution

The fourth proportional to 6,319.78, 9,471.75 and 4,864.42 is: 7,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.78 : 9,471.75 = 4,864.42 : x
  2. Step 2: Convert to fraction form
    6,319.78/9,471.75 = 4,864.42/x
  3. Step 3: Cross multiply
    6,319.78x = 9,471.75 × 4,864.42
  4. Step 4: Simplify right side
    6,319.78x = 46,074,570.14
  5. Step 5: Solve for x
    x = 46,074,570.14/6,319.78
  6. Step 6: Final answer
    x = 7,290.53

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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.