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Finding the Fourth Proportional to 8,960.28, 12,370.80 and 5,775

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Solution

The fourth proportional to 8,960.28, 12,370.80 and 5,775 is: 7,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.28 : 12,370.80 = 5,775 : x
  2. Step 2: Convert to fraction form
    8,960.28/12,370.80 = 5,775/x
  3. Step 3: Cross multiply
    8,960.28x = 12,370.80 × 5,775
  4. Step 4: Simplify right side
    8,960.28x = 71,441,370
  5. Step 5: Solve for x
    x = 71,441,370/8,960.28
  6. Step 6: Final answer
    x = 7,973.12

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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.