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Finding the Fourth Proportional to 9,987.75, 13,782.63 and 5,735.82

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Solution

The fourth proportional to 9,987.75, 13,782.63 and 5,735.82 is: 7,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.75 : 13,782.63 = 5,735.82 : x
  2. Step 2: Convert to fraction form
    9,987.75/13,782.63 = 5,735.82/x
  3. Step 3: Cross multiply
    9,987.75x = 13,782.63 × 5,735.82
  4. Step 4: Simplify right side
    9,987.75x = 79,054,587.21
  5. Step 5: Solve for x
    x = 79,054,587.21/9,987.75
  6. Step 6: Final answer
    x = 7,915.16

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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.