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Finding the Fourth Proportional to 9,599.12, 14,398.80 and 3,443.12

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Solution

The fourth proportional to 9,599.12, 14,398.80 and 3,443.12 is: 5,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.12 : 14,398.80 = 3,443.12 : x
  2. Step 2: Convert to fraction form
    9,599.12/14,398.80 = 3,443.12/x
  3. Step 3: Cross multiply
    9,599.12x = 14,398.80 × 3,443.12
  4. Step 4: Simplify right side
    9,599.12x = 49,576,796.26
  5. Step 5: Solve for x
    x = 49,576,796.26/9,599.12
  6. Step 6: Final answer
    x = 5,164.72

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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.