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Finding the Fourth Proportional to 8,435.82, 12,642.72 and 6,103.68

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Solution

The fourth proportional to 8,435.82, 12,642.72 and 6,103.68 is: 9,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.82 : 12,642.72 = 6,103.68 : x
  2. Step 2: Convert to fraction form
    8,435.82/12,642.72 = 6,103.68/x
  3. Step 3: Cross multiply
    8,435.82x = 12,642.72 × 6,103.68
  4. Step 4: Simplify right side
    8,435.82x = 77,167,117.21
  5. Step 5: Solve for x
    x = 77,167,117.21/8,435.82
  6. Step 6: Final answer
    x = 9,147.55

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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.