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Finding the Fourth Proportional to 6,417.63, 8,856.05 and 3,585.33

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Solution

The fourth proportional to 6,417.63, 8,856.05 and 3,585.33 is: 4,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.63 : 8,856.05 = 3,585.33 : x
  2. Step 2: Convert to fraction form
    6,417.63/8,856.05 = 3,585.33/x
  3. Step 3: Cross multiply
    6,417.63x = 8,856.05 × 3,585.33
  4. Step 4: Simplify right side
    6,417.63x = 31,751,861.75
  5. Step 5: Solve for x
    x = 31,751,861.75/6,417.63
  6. Step 6: Final answer
    x = 4,947.60

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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.