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Finding the Fourth Proportional to 6,488.94, 9,733.21 and 2,329.19

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Solution

The fourth proportional to 6,488.94, 9,733.21 and 2,329.19 is: 3,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.94 : 9,733.21 = 2,329.19 : x
  2. Step 2: Convert to fraction form
    6,488.94/9,733.21 = 2,329.19/x
  3. Step 3: Cross multiply
    6,488.94x = 9,733.21 × 2,329.19
  4. Step 4: Simplify right side
    6,488.94x = 22,670,490.51
  5. Step 5: Solve for x
    x = 22,670,490.51/6,488.94
  6. Step 6: Final answer
    x = 3,493.71

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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.