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Finding the Fourth Proportional to 9,246.96, 13,870.24 and 2,321.44

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Solution

The fourth proportional to 9,246.96, 13,870.24 and 2,321.44 is: 3,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.96 : 13,870.24 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    9,246.96/13,870.24 = 2,321.44/x
  3. Step 3: Cross multiply
    9,246.96x = 13,870.24 × 2,321.44
  4. Step 4: Simplify right side
    9,246.96x = 32,198,929.95
  5. Step 5: Solve for x
    x = 32,198,929.95/9,246.96
  6. Step 6: Final answer
    x = 3,482.11

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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.