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Finding the Fourth Proportional to 6,218.88, 9,330 and 2,323.68

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Solution

The fourth proportional to 6,218.88, 9,330 and 2,323.68 is: 3,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.88 : 9,330 = 2,323.68 : x
  2. Step 2: Convert to fraction form
    6,218.88/9,330 = 2,323.68/x
  3. Step 3: Cross multiply
    6,218.88x = 9,330 × 2,323.68
  4. Step 4: Simplify right side
    6,218.88x = 21,679,934.40
  5. Step 5: Solve for x
    x = 21,679,934.40/6,218.88
  6. Step 6: Final answer
    x = 3,486.15

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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.