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Finding the Fourth Proportional to 9,811.74, 14,715.99 and 3,238.02

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Solution

The fourth proportional to 9,811.74, 14,715.99 and 3,238.02 is: 4,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.74 : 14,715.99 = 3,238.02 : x
  2. Step 2: Convert to fraction form
    9,811.74/14,715.99 = 3,238.02/x
  3. Step 3: Cross multiply
    9,811.74x = 14,715.99 × 3,238.02
  4. Step 4: Simplify right side
    9,811.74x = 47,650,669.94
  5. Step 5: Solve for x
    x = 47,650,669.94/9,811.74
  6. Step 6: Final answer
    x = 4,856.50

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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.