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Finding the Fourth Proportional to 9,879.32, 13,633.68 and 5,899.69

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Solution

The fourth proportional to 9,879.32, 13,633.68 and 5,899.69 is: 8,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.32 : 13,633.68 = 5,899.69 : x
  2. Step 2: Convert to fraction form
    9,879.32/13,633.68 = 5,899.69/x
  3. Step 3: Cross multiply
    9,879.32x = 13,633.68 × 5,899.69
  4. Step 4: Simplify right side
    9,879.32x = 80,434,417.39
  5. Step 5: Solve for x
    x = 80,434,417.39/9,879.32
  6. Step 6: Final answer
    x = 8,141.70

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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.