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Finding the Fourth Proportional to 9,773.98, 13,488.01 and 5,297.61

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Solution

The fourth proportional to 9,773.98, 13,488.01 and 5,297.61 is: 7,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.98 : 13,488.01 = 5,297.61 : x
  2. Step 2: Convert to fraction form
    9,773.98/13,488.01 = 5,297.61/x
  3. Step 3: Cross multiply
    9,773.98x = 13,488.01 × 5,297.61
  4. Step 4: Simplify right side
    9,773.98x = 71,454,273.86
  5. Step 5: Solve for x
    x = 71,454,273.86/9,773.98
  6. Step 6: Final answer
    x = 7,310.66

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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.