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Finding the Fourth Proportional to 6,417.68, 8,856.62 and 3,623.36

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Solution

The fourth proportional to 6,417.68, 8,856.62 and 3,623.36 is: 5,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.68 : 8,856.62 = 3,623.36 : x
  2. Step 2: Convert to fraction form
    6,417.68/8,856.62 = 3,623.36/x
  3. Step 3: Cross multiply
    6,417.68x = 8,856.62 × 3,623.36
  4. Step 4: Simplify right side
    6,417.68x = 32,090,722.64
  5. Step 5: Solve for x
    x = 32,090,722.64/6,417.68
  6. Step 6: Final answer
    x = 5,000.36

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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.