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Finding the Fourth Proportional to 9,896.88, 14,844.96 and 2,971.20

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Solution

The fourth proportional to 9,896.88, 14,844.96 and 2,971.20 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.88 : 14,844.96 = 2,971.20 : x
  2. Step 2: Convert to fraction form
    9,896.88/14,844.96 = 2,971.20/x
  3. Step 3: Cross multiply
    9,896.88x = 14,844.96 × 2,971.20
  4. Step 4: Simplify right side
    9,896.88x = 44,107,345.15
  5. Step 5: Solve for x
    x = 44,107,345.15/9,896.88
  6. Step 6: Final answer
    x = 4,456.69

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Why These Related Problems?

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