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Finding the Fourth Proportional to 6,364, 8,782.44 and 3,569.68

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Solution

The fourth proportional to 6,364, 8,782.44 and 3,569.68 is: 4,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364 : 8,782.44 = 3,569.68 : x
  2. Step 2: Convert to fraction form
    6,364/8,782.44 = 3,569.68/x
  3. Step 3: Cross multiply
    6,364x = 8,782.44 × 3,569.68
  4. Step 4: Simplify right side
    6,364x = 31,350,500.42
  5. Step 5: Solve for x
    x = 31,350,500.42/6,364
  6. Step 6: Final answer
    x = 4,926.23

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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.