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Finding the Fourth Proportional to 9,986.56, 14,997.76 and 6,914.56

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Solution

The fourth proportional to 9,986.56, 14,997.76 and 6,914.56 is: 10,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.56 : 14,997.76 = 6,914.56 : x
  2. Step 2: Convert to fraction form
    9,986.56/14,997.76 = 6,914.56/x
  3. Step 3: Cross multiply
    9,986.56x = 14,997.76 × 6,914.56
  4. Step 4: Simplify right side
    9,986.56x = 103,702,911.39
  5. Step 5: Solve for x
    x = 103,702,911.39/9,986.56
  6. Step 6: Final answer
    x = 10,384.25

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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.