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Finding the Fourth Proportional to 6,294.34, 9,443.33 and 2,784.21

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Solution

The fourth proportional to 6,294.34, 9,443.33 and 2,784.21 is: 4,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.34 : 9,443.33 = 2,784.21 : x
  2. Step 2: Convert to fraction form
    6,294.34/9,443.33 = 2,784.21/x
  3. Step 3: Cross multiply
    6,294.34x = 9,443.33 × 2,784.21
  4. Step 4: Simplify right side
    6,294.34x = 26,292,213.82
  5. Step 5: Solve for x
    x = 26,292,213.82/6,294.34
  6. Step 6: Final answer
    x = 4,177.12

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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.