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Finding the Fourth Proportional to 9,942.66, 13,720.95 and 5,466.29

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Solution

The fourth proportional to 9,942.66, 13,720.95 and 5,466.29 is: 7,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.66 : 13,720.95 = 5,466.29 : x
  2. Step 2: Convert to fraction form
    9,942.66/13,720.95 = 5,466.29/x
  3. Step 3: Cross multiply
    9,942.66x = 13,720.95 × 5,466.29
  4. Step 4: Simplify right side
    9,942.66x = 75,002,623.17
  5. Step 5: Solve for x
    x = 75,002,623.17/9,942.66
  6. Step 6: Final answer
    x = 7,543.52

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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.