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Finding the Fourth Proportional to 9,509.80, 14,263.17 and 5,989

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Solution

The fourth proportional to 9,509.80, 14,263.17 and 5,989 is: 8,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.80 : 14,263.17 = 5,989 : x
  2. Step 2: Convert to fraction form
    9,509.80/14,263.17 = 5,989/x
  3. Step 3: Cross multiply
    9,509.80x = 14,263.17 × 5,989
  4. Step 4: Simplify right side
    9,509.80x = 85,422,125.13
  5. Step 5: Solve for x
    x = 85,422,125.13/9,509.80
  6. Step 6: Final answer
    x = 8,982.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.