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Finding the Fourth Proportional to 9,291.26, 13,926.15 and 4,283.17

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Solution

The fourth proportional to 9,291.26, 13,926.15 and 4,283.17 is: 6,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.26 : 13,926.15 = 4,283.17 : x
  2. Step 2: Convert to fraction form
    9,291.26/13,926.15 = 4,283.17/x
  3. Step 3: Cross multiply
    9,291.26x = 13,926.15 × 4,283.17
  4. Step 4: Simplify right side
    9,291.26x = 59,648,067.90
  5. Step 5: Solve for x
    x = 59,648,067.90/9,291.26
  6. Step 6: Final answer
    x = 6,419.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.