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Finding the Fourth Proportional to 9,254.44, 13,878.78 and 3,097

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Solution

The fourth proportional to 9,254.44, 13,878.78 and 3,097 is: 4,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.44 : 13,878.78 = 3,097 : x
  2. Step 2: Convert to fraction form
    9,254.44/13,878.78 = 3,097/x
  3. Step 3: Cross multiply
    9,254.44x = 13,878.78 × 3,097
  4. Step 4: Simplify right side
    9,254.44x = 42,982,581.66
  5. Step 5: Solve for x
    x = 42,982,581.66/9,254.44
  6. Step 6: Final answer
    x = 4,644.54

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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.