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Finding the Fourth Proportional to 9,987.50, 13,782.75 and 5,798.18

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Solution

The fourth proportional to 9,987.50, 13,782.75 and 5,798.18 is: 8,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.50 : 13,782.75 = 5,798.18 : x
  2. Step 2: Convert to fraction form
    9,987.50/13,782.75 = 5,798.18/x
  3. Step 3: Cross multiply
    9,987.50x = 13,782.75 × 5,798.18
  4. Step 4: Simplify right side
    9,987.50x = 79,914,865.40
  5. Step 5: Solve for x
    x = 79,914,865.40/9,987.50
  6. Step 6: Final answer
    x = 8,001.49

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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.