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Finding the Fourth Proportional to 7,207.98, 9,942.75 and 5,434.02

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Solution

The fourth proportional to 7,207.98, 9,942.75 and 5,434.02 is: 7,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.98 : 9,942.75 = 5,434.02 : x
  2. Step 2: Convert to fraction form
    7,207.98/9,942.75 = 5,434.02/x
  3. Step 3: Cross multiply
    7,207.98x = 9,942.75 × 5,434.02
  4. Step 4: Simplify right side
    7,207.98x = 54,029,102.36
  5. Step 5: Solve for x
    x = 54,029,102.36/7,207.98
  6. Step 6: Final answer
    x = 7,495.73

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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.