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Finding the Fourth Proportional to 9,942.66, 13,720.88 and 5,466.38

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Solution

The fourth proportional to 9,942.66, 13,720.88 and 5,466.38 is: 7,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.66 : 13,720.88 = 5,466.38 : x
  2. Step 2: Convert to fraction form
    9,942.66/13,720.88 = 5,466.38/x
  3. Step 3: Cross multiply
    9,942.66x = 13,720.88 × 5,466.38
  4. Step 4: Simplify right side
    9,942.66x = 75,003,448.08
  5. Step 5: Solve for x
    x = 75,003,448.08/9,942.66
  6. Step 6: Final answer
    x = 7,543.60

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Why These Related Problems?

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