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Finding the Fourth Proportional to 6,313.88, 8,709.66 and 5,869.08

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Solution

The fourth proportional to 6,313.88, 8,709.66 and 5,869.08 is: 8,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.88 : 8,709.66 = 5,869.08 : x
  2. Step 2: Convert to fraction form
    6,313.88/8,709.66 = 5,869.08/x
  3. Step 3: Cross multiply
    6,313.88x = 8,709.66 × 5,869.08
  4. Step 4: Simplify right side
    6,313.88x = 51,117,691.31
  5. Step 5: Solve for x
    x = 51,117,691.31/6,313.88
  6. Step 6: Final answer
    x = 8,096.08

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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.