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Finding the Fourth Proportional to 9,443.98, 13,032.66 and 5,195.10

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Solution

The fourth proportional to 9,443.98, 13,032.66 and 5,195.10 is: 7,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.98 : 13,032.66 = 5,195.10 : x
  2. Step 2: Convert to fraction form
    9,443.98/13,032.66 = 5,195.10/x
  3. Step 3: Cross multiply
    9,443.98x = 13,032.66 × 5,195.10
  4. Step 4: Simplify right side
    9,443.98x = 67,706,040.32
  5. Step 5: Solve for x
    x = 67,706,040.32/9,443.98
  6. Step 6: Final answer
    x = 7,169.23

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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.