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Finding the Fourth Proportional to 9,856.50, 14,859.06 and 9,222.27

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Solution

The fourth proportional to 9,856.50, 14,859.06 and 9,222.27 is: 13,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.50 : 14,859.06 = 9,222.27 : x
  2. Step 2: Convert to fraction form
    9,856.50/14,859.06 = 9,222.27/x
  3. Step 3: Cross multiply
    9,856.50x = 14,859.06 × 9,222.27
  4. Step 4: Simplify right side
    9,856.50x = 137,034,263.27
  5. Step 5: Solve for x
    x = 137,034,263.27/9,856.50
  6. Step 6: Final answer
    x = 13,902.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.