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Finding the Fourth Proportional to 9,443.69, 13,032.85 and 5,466.18

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Solution

The fourth proportional to 9,443.69, 13,032.85 and 5,466.18 is: 7,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.69 : 13,032.85 = 5,466.18 : x
  2. Step 2: Convert to fraction form
    9,443.69/13,032.85 = 5,466.18/x
  3. Step 3: Cross multiply
    9,443.69x = 13,032.85 × 5,466.18
  4. Step 4: Simplify right side
    9,443.69x = 71,239,949.47
  5. Step 5: Solve for x
    x = 71,239,949.47/9,443.69
  6. Step 6: Final answer
    x = 7,543.66

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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.