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Finding the Fourth Proportional to 9,202.28, 12,699.66 and 5,427.65

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Solution

The fourth proportional to 9,202.28, 12,699.66 and 5,427.65 is: 7,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.28 : 12,699.66 = 5,427.65 : x
  2. Step 2: Convert to fraction form
    9,202.28/12,699.66 = 5,427.65/x
  3. Step 3: Cross multiply
    9,202.28x = 12,699.66 × 5,427.65
  4. Step 4: Simplify right side
    9,202.28x = 68,929,246.10
  5. Step 5: Solve for x
    x = 68,929,246.10/9,202.28
  6. Step 6: Final answer
    x = 7,490.46

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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.