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Finding the Fourth Proportional to 6,778.95, 9,355.14 and 4,126.29

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Solution

The fourth proportional to 6,778.95, 9,355.14 and 4,126.29 is: 5,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.95 : 9,355.14 = 4,126.29 : x
  2. Step 2: Convert to fraction form
    6,778.95/9,355.14 = 4,126.29/x
  3. Step 3: Cross multiply
    6,778.95x = 9,355.14 × 4,126.29
  4. Step 4: Simplify right side
    6,778.95x = 38,602,020.63
  5. Step 5: Solve for x
    x = 38,602,020.63/6,778.95
  6. Step 6: Final answer
    x = 5,694.40

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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.