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Finding the Fourth Proportional to 8,993.21, 12,409.73 and 5,013.95

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Solution

The fourth proportional to 8,993.21, 12,409.73 and 5,013.95 is: 6,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.21 : 12,409.73 = 5,013.95 : x
  2. Step 2: Convert to fraction form
    8,993.21/12,409.73 = 5,013.95/x
  3. Step 3: Cross multiply
    8,993.21x = 12,409.73 × 5,013.95
  4. Step 4: Simplify right side
    8,993.21x = 62,221,740.66
  5. Step 5: Solve for x
    x = 62,221,740.66/8,993.21
  6. Step 6: Final answer
    x = 6,918.75

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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.