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Finding the Fourth Proportional to 8,973.82, 13,467.76 and 6,219.82

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Solution

The fourth proportional to 8,973.82, 13,467.76 and 6,219.82 is: 9,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.82 : 13,467.76 = 6,219.82 : x
  2. Step 2: Convert to fraction form
    8,973.82/13,467.76 = 6,219.82/x
  3. Step 3: Cross multiply
    8,973.82x = 13,467.76 × 6,219.82
  4. Step 4: Simplify right side
    8,973.82x = 83,767,043.00
  5. Step 5: Solve for x
    x = 83,767,043.00/8,973.82
  6. Step 6: Final answer
    x = 9,334.60

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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.