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Finding the Fourth Proportional to 9,987.36, 13,782.44 and 5,511.14

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Solution

The fourth proportional to 9,987.36, 13,782.44 and 5,511.14 is: 7,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.36 : 13,782.44 = 5,511.14 : x
  2. Step 2: Convert to fraction form
    9,987.36/13,782.44 = 5,511.14/x
  3. Step 3: Cross multiply
    9,987.36x = 13,782.44 × 5,511.14
  4. Step 4: Simplify right side
    9,987.36x = 75,956,956.38
  5. Step 5: Solve for x
    x = 75,956,956.38/9,987.36
  6. Step 6: Final answer
    x = 7,605.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.