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Finding the Fourth Proportional to 6,400.71, 8,835.48 and 6,193.08

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Solution

The fourth proportional to 6,400.71, 8,835.48 and 6,193.08 is: 8,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.71 : 8,835.48 = 6,193.08 : x
  2. Step 2: Convert to fraction form
    6,400.71/8,835.48 = 6,193.08/x
  3. Step 3: Cross multiply
    6,400.71x = 8,835.48 × 6,193.08
  4. Step 4: Simplify right side
    6,400.71x = 54,718,834.48
  5. Step 5: Solve for x
    x = 54,718,834.48/6,400.71
  6. Step 6: Final answer
    x = 8,548.87

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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.