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Finding the Fourth Proportional to 9,456.78, 14,171.25 and 5,298.06

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Solution

The fourth proportional to 9,456.78, 14,171.25 and 5,298.06 is: 7,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.78 : 14,171.25 = 5,298.06 : x
  2. Step 2: Convert to fraction form
    9,456.78/14,171.25 = 5,298.06/x
  3. Step 3: Cross multiply
    9,456.78x = 14,171.25 × 5,298.06
  4. Step 4: Simplify right side
    9,456.78x = 75,080,182.22
  5. Step 5: Solve for x
    x = 75,080,182.22/9,456.78
  6. Step 6: Final answer
    x = 7,939.30

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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.