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Finding the Fourth Proportional to 9,142.32, 13,705.24 and 3,294.84

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Solution

The fourth proportional to 9,142.32, 13,705.24 and 3,294.84 is: 4,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.32 : 13,705.24 = 3,294.84 : x
  2. Step 2: Convert to fraction form
    9,142.32/13,705.24 = 3,294.84/x
  3. Step 3: Cross multiply
    9,142.32x = 13,705.24 × 3,294.84
  4. Step 4: Simplify right side
    9,142.32x = 45,156,572.96
  5. Step 5: Solve for x
    x = 45,156,572.96/9,142.32
  6. Step 6: Final answer
    x = 4,939.29

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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.