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Finding the Fourth Proportional to 6,873.86, 9,479.66 and 5,813.84

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Solution

The fourth proportional to 6,873.86, 9,479.66 and 5,813.84 is: 8,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.86 : 9,479.66 = 5,813.84 : x
  2. Step 2: Convert to fraction form
    6,873.86/9,479.66 = 5,813.84/x
  3. Step 3: Cross multiply
    6,873.86x = 9,479.66 × 5,813.84
  4. Step 4: Simplify right side
    6,873.86x = 55,113,226.49
  5. Step 5: Solve for x
    x = 55,113,226.49/6,873.86
  6. Step 6: Final answer
    x = 8,017.80

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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.