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Finding the Fourth Proportional to 9,002.70, 13,502.42 and 2,427.34

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Solution

The fourth proportional to 9,002.70, 13,502.42 and 2,427.34 is: 3,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.70 : 13,502.42 = 2,427.34 : x
  2. Step 2: Convert to fraction form
    9,002.70/13,502.42 = 2,427.34/x
  3. Step 3: Cross multiply
    9,002.70x = 13,502.42 × 2,427.34
  4. Step 4: Simplify right side
    9,002.70x = 32,774,964.16
  5. Step 5: Solve for x
    x = 32,774,964.16/9,002.70
  6. Step 6: Final answer
    x = 3,640.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.