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Finding the Fourth Proportional to 9,246, 13,853.61 and 6,121.83

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Solution

The fourth proportional to 9,246, 13,853.61 and 6,121.83 is: 9,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 13,853.61 = 6,121.83 : x
  2. Step 2: Convert to fraction form
    9,246/13,853.61 = 6,121.83/x
  3. Step 3: Cross multiply
    9,246x = 13,853.61 × 6,121.83
  4. Step 4: Simplify right side
    9,246x = 84,809,445.31
  5. Step 5: Solve for x
    x = 84,809,445.31/9,246
  6. Step 6: Final answer
    x = 9,172.56

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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.