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Finding the Fourth Proportional to 9,976.70, 14,997.86 and 9,254.99

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Solution

The fourth proportional to 9,976.70, 14,997.86 and 9,254.99 is: 13,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.70 : 14,997.86 = 9,254.99 : x
  2. Step 2: Convert to fraction form
    9,976.70/14,997.86 = 9,254.99/x
  3. Step 3: Cross multiply
    9,976.70x = 14,997.86 × 9,254.99
  4. Step 4: Simplify right side
    9,976.70x = 138,805,070.25
  5. Step 5: Solve for x
    x = 138,805,070.25/9,976.70
  6. Step 6: Final answer
    x = 13,912.92

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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.