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Finding the Fourth Proportional to 6,966.83, 10,488.26 and 6,354.47

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Solution

The fourth proportional to 6,966.83, 10,488.26 and 6,354.47 is: 9,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.83 : 10,488.26 = 6,354.47 : x
  2. Step 2: Convert to fraction form
    6,966.83/10,488.26 = 6,354.47/x
  3. Step 3: Cross multiply
    6,966.83x = 10,488.26 × 6,354.47
  4. Step 4: Simplify right side
    6,966.83x = 66,647,301.75
  5. Step 5: Solve for x
    x = 66,647,301.75/6,966.83
  6. Step 6: Final answer
    x = 9,566.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.