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Finding the Fourth Proportional to 6,471.78, 9,707.38 and 1,854.78

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Solution

The fourth proportional to 6,471.78, 9,707.38 and 1,854.78 is: 2,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.78 : 9,707.38 = 1,854.78 : x
  2. Step 2: Convert to fraction form
    6,471.78/9,707.38 = 1,854.78/x
  3. Step 3: Cross multiply
    6,471.78x = 9,707.38 × 1,854.78
  4. Step 4: Simplify right side
    6,471.78x = 18,005,054.28
  5. Step 5: Solve for x
    x = 18,005,054.28/6,471.78
  6. Step 6: Final answer
    x = 2,782.09

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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.