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Finding the Fourth Proportional to 9,773.88, 13,487.10 and 5,794.32

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Solution

The fourth proportional to 9,773.88, 13,487.10 and 5,794.32 is: 7,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.88 : 13,487.10 = 5,794.32 : x
  2. Step 2: Convert to fraction form
    9,773.88/13,487.10 = 5,794.32/x
  3. Step 3: Cross multiply
    9,773.88x = 13,487.10 × 5,794.32
  4. Step 4: Simplify right side
    9,773.88x = 78,148,573.27
  5. Step 5: Solve for x
    x = 78,148,573.27/9,773.88
  6. Step 6: Final answer
    x = 7,995.66

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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.