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Finding the Fourth Proportional to 9,685.92, 14,526 and 3,444.84

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Solution

The fourth proportional to 9,685.92, 14,526 and 3,444.84 is: 5,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.92 : 14,526 = 3,444.84 : x
  2. Step 2: Convert to fraction form
    9,685.92/14,526 = 3,444.84/x
  3. Step 3: Cross multiply
    9,685.92x = 14,526 × 3,444.84
  4. Step 4: Simplify right side
    9,685.92x = 50,039,745.84
  5. Step 5: Solve for x
    x = 50,039,745.84/9,685.92
  6. Step 6: Final answer
    x = 5,166.24

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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.