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Finding the Fourth Proportional to 9,298.97, 12,832.58 and 5,107.22

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Solution

The fourth proportional to 9,298.97, 12,832.58 and 5,107.22 is: 7,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.97 : 12,832.58 = 5,107.22 : x
  2. Step 2: Convert to fraction form
    9,298.97/12,832.58 = 5,107.22/x
  3. Step 3: Cross multiply
    9,298.97x = 12,832.58 × 5,107.22
  4. Step 4: Simplify right side
    9,298.97x = 65,538,805.95
  5. Step 5: Solve for x
    x = 65,538,805.95/9,298.97
  6. Step 6: Final answer
    x = 7,047.96

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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.