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Finding the Fourth Proportional to 8,035.59, 12,032.43 and 6,467.03

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Solution

The fourth proportional to 8,035.59, 12,032.43 and 6,467.03 is: 9,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.59 : 12,032.43 = 6,467.03 : x
  2. Step 2: Convert to fraction form
    8,035.59/12,032.43 = 6,467.03/x
  3. Step 3: Cross multiply
    8,035.59x = 12,032.43 × 6,467.03
  4. Step 4: Simplify right side
    8,035.59x = 77,814,085.78
  5. Step 5: Solve for x
    x = 77,814,085.78/8,035.59
  6. Step 6: Final answer
    x = 9,683.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.