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Finding the Fourth Proportional to 9,203.62, 12,699.25 and 5,427.97

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Solution

The fourth proportional to 9,203.62, 12,699.25 and 5,427.97 is: 7,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.62 : 12,699.25 = 5,427.97 : x
  2. Step 2: Convert to fraction form
    9,203.62/12,699.25 = 5,427.97/x
  3. Step 3: Cross multiply
    9,203.62x = 12,699.25 × 5,427.97
  4. Step 4: Simplify right side
    9,203.62x = 68,931,148.02
  5. Step 5: Solve for x
    x = 68,931,148.02/9,203.62
  6. Step 6: Final answer
    x = 7,489.57

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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.