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Finding the Fourth Proportional to 9,410.88, 14,098.86 and 6,736.95

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Solution

The fourth proportional to 9,410.88, 14,098.86 and 6,736.95 is: 10,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.88 : 14,098.86 = 6,736.95 : x
  2. Step 2: Convert to fraction form
    9,410.88/14,098.86 = 6,736.95/x
  3. Step 3: Cross multiply
    9,410.88x = 14,098.86 × 6,736.95
  4. Step 4: Simplify right side
    9,410.88x = 94,983,351.81
  5. Step 5: Solve for x
    x = 94,983,351.81/9,410.88
  6. Step 6: Final answer
    x = 10,092.93

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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.