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Finding the Fourth Proportional to 6,849.19, 9,451.36 and 3,865.30

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Solution

The fourth proportional to 6,849.19, 9,451.36 and 3,865.30 is: 5,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.19 : 9,451.36 = 3,865.30 : x
  2. Step 2: Convert to fraction form
    6,849.19/9,451.36 = 3,865.30/x
  3. Step 3: Cross multiply
    6,849.19x = 9,451.36 × 3,865.30
  4. Step 4: Simplify right side
    6,849.19x = 36,532,341.81
  5. Step 5: Solve for x
    x = 36,532,341.81/6,849.19
  6. Step 6: Final answer
    x = 5,333.82

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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.