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Finding the Fourth Proportional to 8,974.98, 12,384.84 and 5,617.64

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Solution

The fourth proportional to 8,974.98, 12,384.84 and 5,617.64 is: 7,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.98 : 12,384.84 = 5,617.64 : x
  2. Step 2: Convert to fraction form
    8,974.98/12,384.84 = 5,617.64/x
  3. Step 3: Cross multiply
    8,974.98x = 12,384.84 × 5,617.64
  4. Step 4: Simplify right side
    8,974.98x = 69,573,572.58
  5. Step 5: Solve for x
    x = 69,573,572.58/8,974.98
  6. Step 6: Final answer
    x = 7,751.95

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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.