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Finding the Fourth Proportional to 9,377.32, 14,059.02 and 5,678.68

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Solution

The fourth proportional to 9,377.32, 14,059.02 and 5,678.68 is: 8,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.32 : 14,059.02 = 5,678.68 : x
  2. Step 2: Convert to fraction form
    9,377.32/14,059.02 = 5,678.68/x
  3. Step 3: Cross multiply
    9,377.32x = 14,059.02 × 5,678.68
  4. Step 4: Simplify right side
    9,377.32x = 79,836,675.69
  5. Step 5: Solve for x
    x = 79,836,675.69/9,377.32
  6. Step 6: Final answer
    x = 8,513.81

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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.