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Finding the Fourth Proportional to 6,465.99, 8,920.73 and 4,229.15

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Solution

The fourth proportional to 6,465.99, 8,920.73 and 4,229.15 is: 5,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.99 : 8,920.73 = 4,229.15 : x
  2. Step 2: Convert to fraction form
    6,465.99/8,920.73 = 4,229.15/x
  3. Step 3: Cross multiply
    6,465.99x = 8,920.73 × 4,229.15
  4. Step 4: Simplify right side
    6,465.99x = 37,727,071.25
  5. Step 5: Solve for x
    x = 37,727,071.25/6,465.99
  6. Step 6: Final answer
    x = 5,834.69

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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.