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Finding the Fourth Proportional to 8,832.16, 13,254.56 and 6,646.72

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Solution

The fourth proportional to 8,832.16, 13,254.56 and 6,646.72 is: 9,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.16 : 13,254.56 = 6,646.72 : x
  2. Step 2: Convert to fraction form
    8,832.16/13,254.56 = 6,646.72/x
  3. Step 3: Cross multiply
    8,832.16x = 13,254.56 × 6,646.72
  4. Step 4: Simplify right side
    8,832.16x = 88,099,349.04
  5. Step 5: Solve for x
    x = 88,099,349.04/8,832.16
  6. Step 6: Final answer
    x = 9,974.84

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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.