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Finding the Fourth Proportional to 9,987.50, 13,782.63 and 5,511.44

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Solution

The fourth proportional to 9,987.50, 13,782.63 and 5,511.44 is: 7,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.50 : 13,782.63 = 5,511.44 : x
  2. Step 2: Convert to fraction form
    9,987.50/13,782.63 = 5,511.44/x
  3. Step 3: Cross multiply
    9,987.50x = 13,782.63 × 5,511.44
  4. Step 4: Simplify right side
    9,987.50x = 75,962,138.29
  5. Step 5: Solve for x
    x = 75,962,138.29/9,987.50
  6. Step 6: Final answer
    x = 7,605.72

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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.