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Finding the Fourth Proportional to 8,329.41, 12,497.36 and 3,138.93

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Solution

The fourth proportional to 8,329.41, 12,497.36 and 3,138.93 is: 4,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.41 : 12,497.36 = 3,138.93 : x
  2. Step 2: Convert to fraction form
    8,329.41/12,497.36 = 3,138.93/x
  3. Step 3: Cross multiply
    8,329.41x = 12,497.36 × 3,138.93
  4. Step 4: Simplify right side
    8,329.41x = 39,228,322.53
  5. Step 5: Solve for x
    x = 39,228,322.53/8,329.41
  6. Step 6: Final answer
    x = 4,709.62

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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.