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Finding the Fourth Proportional to 9,987, 13,782.06 and 5,797.56

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Solution

The fourth proportional to 9,987, 13,782.06 and 5,797.56 is: 8,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 13,782.06 = 5,797.56 : x
  2. Step 2: Convert to fraction form
    9,987/13,782.06 = 5,797.56/x
  3. Step 3: Cross multiply
    9,987x = 13,782.06 × 5,797.56
  4. Step 4: Simplify right side
    9,987x = 79,902,319.77
  5. Step 5: Solve for x
    x = 79,902,319.77/9,987
  6. Step 6: Final answer
    x = 8,000.63

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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.