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Finding the Fourth Proportional to 9,443.98, 13,034.69 and 7,568.02

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Solution

The fourth proportional to 9,443.98, 13,034.69 and 7,568.02 is: 10,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.98 : 13,034.69 = 7,568.02 : x
  2. Step 2: Convert to fraction form
    9,443.98/13,034.69 = 7,568.02/x
  3. Step 3: Cross multiply
    9,443.98x = 13,034.69 × 7,568.02
  4. Step 4: Simplify right side
    9,443.98x = 98,646,794.61
  5. Step 5: Solve for x
    x = 98,646,794.61/9,443.98
  6. Step 6: Final answer
    x = 10,445.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.