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Finding the Fourth Proportional to 7,027.70, 9,702.25 and 5,244.98

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Solution

The fourth proportional to 7,027.70, 9,702.25 and 5,244.98 is: 7,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.70 : 9,702.25 = 5,244.98 : x
  2. Step 2: Convert to fraction form
    7,027.70/9,702.25 = 5,244.98/x
  3. Step 3: Cross multiply
    7,027.70x = 9,702.25 × 5,244.98
  4. Step 4: Simplify right side
    7,027.70x = 50,888,045.58
  5. Step 5: Solve for x
    x = 50,888,045.58/7,027.70
  6. Step 6: Final answer
    x = 7,241.07

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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.