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Finding the Fourth Proportional to 9,042.98, 12,482.69 and 8,097.10

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Solution

The fourth proportional to 9,042.98, 12,482.69 and 8,097.10 is: 11,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.98 : 12,482.69 = 8,097.10 : x
  2. Step 2: Convert to fraction form
    9,042.98/12,482.69 = 8,097.10/x
  3. Step 3: Cross multiply
    9,042.98x = 12,482.69 × 8,097.10
  4. Step 4: Simplify right side
    9,042.98x = 101,073,517.51
  5. Step 5: Solve for x
    x = 101,073,517.51/9,042.98
  6. Step 6: Final answer
    x = 11,177.02

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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.