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Finding the Fourth Proportional to 8,852.74, 13,280.82 and 3,009.22

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Solution

The fourth proportional to 8,852.74, 13,280.82 and 3,009.22 is: 4,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.74 : 13,280.82 = 3,009.22 : x
  2. Step 2: Convert to fraction form
    8,852.74/13,280.82 = 3,009.22/x
  3. Step 3: Cross multiply
    8,852.74x = 13,280.82 × 3,009.22
  4. Step 4: Simplify right side
    8,852.74x = 39,964,909.16
  5. Step 5: Solve for x
    x = 39,964,909.16/8,852.74
  6. Step 6: Final answer
    x = 4,514.41

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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.