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Finding the Fourth Proportional to 6,446.16, 9,682.20 and 5,632.92

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Solution

The fourth proportional to 6,446.16, 9,682.20 and 5,632.92 is: 8,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 9,682.20 = 5,632.92 : x
  2. Step 2: Convert to fraction form
    6,446.16/9,682.20 = 5,632.92/x
  3. Step 3: Cross multiply
    6,446.16x = 9,682.20 × 5,632.92
  4. Step 4: Simplify right side
    6,446.16x = 54,539,058.02
  5. Step 5: Solve for x
    x = 54,539,058.02/6,446.16
  6. Step 6: Final answer
    x = 8,460.70

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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.