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Finding the Fourth Proportional to 9,889.90, 13,647.37 and 5,641.14

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Solution

The fourth proportional to 9,889.90, 13,647.37 and 5,641.14 is: 7,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.90 : 13,647.37 = 5,641.14 : x
  2. Step 2: Convert to fraction form
    9,889.90/13,647.37 = 5,641.14/x
  3. Step 3: Cross multiply
    9,889.90x = 13,647.37 × 5,641.14
  4. Step 4: Simplify right side
    9,889.90x = 76,986,724.80
  5. Step 5: Solve for x
    x = 76,986,724.80/9,889.90
  6. Step 6: Final answer
    x = 7,784.38

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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.