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Finding the Fourth Proportional to 9,299.32, 13,951.16 and 3,059.34

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Solution

The fourth proportional to 9,299.32, 13,951.16 and 3,059.34 is: 4,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.32 : 13,951.16 = 3,059.34 : x
  2. Step 2: Convert to fraction form
    9,299.32/13,951.16 = 3,059.34/x
  3. Step 3: Cross multiply
    9,299.32x = 13,951.16 × 3,059.34
  4. Step 4: Simplify right side
    9,299.32x = 42,681,341.83
  5. Step 5: Solve for x
    x = 42,681,341.83/9,299.32
  6. Step 6: Final answer
    x = 4,589.73

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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.