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Finding the Fourth Proportional to 9,109.46, 13,679.55 and 8,641.82

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Solution

The fourth proportional to 9,109.46, 13,679.55 and 8,641.82 is: 12,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.46 : 13,679.55 = 8,641.82 : x
  2. Step 2: Convert to fraction form
    9,109.46/13,679.55 = 8,641.82/x
  3. Step 3: Cross multiply
    9,109.46x = 13,679.55 × 8,641.82
  4. Step 4: Simplify right side
    9,109.46x = 118,216,208.78
  5. Step 5: Solve for x
    x = 118,216,208.78/9,109.46
  6. Step 6: Final answer
    x = 12,977.30

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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.