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Finding the Fourth Proportional to 6,438.81, 8,865.81 and 5,637.55

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Solution

The fourth proportional to 6,438.81, 8,865.81 and 5,637.55 is: 7,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.81 : 8,865.81 = 5,637.55 : x
  2. Step 2: Convert to fraction form
    6,438.81/8,865.81 = 5,637.55/x
  3. Step 3: Cross multiply
    6,438.81x = 8,865.81 × 5,637.55
  4. Step 4: Simplify right side
    6,438.81x = 49,981,447.17
  5. Step 5: Solve for x
    x = 49,981,447.17/6,438.81
  6. Step 6: Final answer
    x = 7,762.53

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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.