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Finding the Fourth Proportional to 6,417.81, 8,856.47 and 3,585.23

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Solution

The fourth proportional to 6,417.81, 8,856.47 and 3,585.23 is: 4,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.81 : 8,856.47 = 3,585.23 : x
  2. Step 2: Convert to fraction form
    6,417.81/8,856.47 = 3,585.23/x
  3. Step 3: Cross multiply
    6,417.81x = 8,856.47 × 3,585.23
  4. Step 4: Simplify right side
    6,417.81x = 31,752,481.94
  5. Step 5: Solve for x
    x = 31,752,481.94/6,417.81
  6. Step 6: Final answer
    x = 4,947.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.