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Finding the Fourth Proportional to 8,972.97, 12,382.08 and 5,615.64

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Solution

The fourth proportional to 8,972.97, 12,382.08 and 5,615.64 is: 7,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.97 : 12,382.08 = 5,615.64 : x
  2. Step 2: Convert to fraction form
    8,972.97/12,382.08 = 5,615.64/x
  3. Step 3: Cross multiply
    8,972.97x = 12,382.08 × 5,615.64
  4. Step 4: Simplify right side
    8,972.97x = 69,533,303.73
  5. Step 5: Solve for x
    x = 69,533,303.73/8,972.97
  6. Step 6: Final answer
    x = 7,749.20

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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.