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Finding the Fourth Proportional to 8,832.96, 12,189.49 and 4,854.30

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Solution

The fourth proportional to 8,832.96, 12,189.49 and 4,854.30 is: 6,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.96 : 12,189.49 = 4,854.30 : x
  2. Step 2: Convert to fraction form
    8,832.96/12,189.49 = 4,854.30/x
  3. Step 3: Cross multiply
    8,832.96x = 12,189.49 × 4,854.30
  4. Step 4: Simplify right side
    8,832.96x = 59,171,417.04
  5. Step 5: Solve for x
    x = 59,171,417.04/8,832.96
  6. Step 6: Final answer
    x = 6,698.94

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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.