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Finding the Fourth Proportional to 9,488.13, 14,232.19 and 2,562.63

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Solution

The fourth proportional to 9,488.13, 14,232.19 and 2,562.63 is: 3,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.13 : 14,232.19 = 2,562.63 : x
  2. Step 2: Convert to fraction form
    9,488.13/14,232.19 = 2,562.63/x
  3. Step 3: Cross multiply
    9,488.13x = 14,232.19 × 2,562.63
  4. Step 4: Simplify right side
    9,488.13x = 36,471,837.06
  5. Step 5: Solve for x
    x = 36,471,837.06/9,488.13
  6. Step 6: Final answer
    x = 3,843.94

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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.