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Finding the Fourth Proportional to 9,906.10, 14,859.16 and 9,250

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Solution

The fourth proportional to 9,906.10, 14,859.16 and 9,250 is: 13,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.10 : 14,859.16 = 9,250 : x
  2. Step 2: Convert to fraction form
    9,906.10/14,859.16 = 9,250/x
  3. Step 3: Cross multiply
    9,906.10x = 14,859.16 × 9,250
  4. Step 4: Simplify right side
    9,906.10x = 137,447,230
  5. Step 5: Solve for x
    x = 137,447,230/9,906.10
  6. Step 6: Final answer
    x = 13,875.01

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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.