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Finding the Fourth Proportional to 9,284.12, 13,911.28 and 7,425.44

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Solution

The fourth proportional to 9,284.12, 13,911.28 and 7,425.44 is: 11,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.12 : 13,911.28 = 7,425.44 : x
  2. Step 2: Convert to fraction form
    9,284.12/13,911.28 = 7,425.44/x
  3. Step 3: Cross multiply
    9,284.12x = 13,911.28 × 7,425.44
  4. Step 4: Simplify right side
    9,284.12x = 103,297,374.96
  5. Step 5: Solve for x
    x = 103,297,374.96/9,284.12
  6. Step 6: Final answer
    x = 11,126.24

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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.