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Finding the Fourth Proportional to 6,926.88, 9,551.82 and 4,566

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Solution

The fourth proportional to 6,926.88, 9,551.82 and 4,566 is: 6,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.88 : 9,551.82 = 4,566 : x
  2. Step 2: Convert to fraction form
    6,926.88/9,551.82 = 4,566/x
  3. Step 3: Cross multiply
    6,926.88x = 9,551.82 × 4,566
  4. Step 4: Simplify right side
    6,926.88x = 43,613,610.12
  5. Step 5: Solve for x
    x = 43,613,610.12/6,926.88
  6. Step 6: Final answer
    x = 6,296.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.