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Finding the Fourth Proportional to 9,382.68, 14,054.52 and 4,456.20

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Solution

The fourth proportional to 9,382.68, 14,054.52 and 4,456.20 is: 6,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.68 : 14,054.52 = 4,456.20 : x
  2. Step 2: Convert to fraction form
    9,382.68/14,054.52 = 4,456.20/x
  3. Step 3: Cross multiply
    9,382.68x = 14,054.52 × 4,456.20
  4. Step 4: Simplify right side
    9,382.68x = 62,629,752.02
  5. Step 5: Solve for x
    x = 62,629,752.02/9,382.68
  6. Step 6: Final answer
    x = 6,675.04

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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.