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Finding the Fourth Proportional to 9,118.34, 13,684 and 3,275.82

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Solution

The fourth proportional to 9,118.34, 13,684 and 3,275.82 is: 4,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.34 : 13,684 = 3,275.82 : x
  2. Step 2: Convert to fraction form
    9,118.34/13,684 = 3,275.82/x
  3. Step 3: Cross multiply
    9,118.34x = 13,684 × 3,275.82
  4. Step 4: Simplify right side
    9,118.34x = 44,826,320.88
  5. Step 5: Solve for x
    x = 44,826,320.88/9,118.34
  6. Step 6: Final answer
    x = 4,916.06

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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.