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Finding the Fourth Proportional to 8,945.20, 13,417.80 and 5,672.80

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Solution

The fourth proportional to 8,945.20, 13,417.80 and 5,672.80 is: 8,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.20 : 13,417.80 = 5,672.80 : x
  2. Step 2: Convert to fraction form
    8,945.20/13,417.80 = 5,672.80/x
  3. Step 3: Cross multiply
    8,945.20x = 13,417.80 × 5,672.80
  4. Step 4: Simplify right side
    8,945.20x = 76,116,495.84
  5. Step 5: Solve for x
    x = 76,116,495.84/8,945.20
  6. Step 6: Final answer
    x = 8,509.20

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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.