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Finding the Fourth Proportional to 8,784.40, 13,178.40 and 2,945.20

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Solution

The fourth proportional to 8,784.40, 13,178.40 and 2,945.20 is: 4,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.40 : 13,178.40 = 2,945.20 : x
  2. Step 2: Convert to fraction form
    8,784.40/13,178.40 = 2,945.20/x
  3. Step 3: Cross multiply
    8,784.40x = 13,178.40 × 2,945.20
  4. Step 4: Simplify right side
    8,784.40x = 38,813,023.68
  5. Step 5: Solve for x
    x = 38,813,023.68/8,784.40
  6. Step 6: Final answer
    x = 4,418.40

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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.