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Finding the Fourth Proportional to 9,870.81, 14,800.14 and 3,295.23

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Solution

The fourth proportional to 9,870.81, 14,800.14 and 3,295.23 is: 4,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.81 : 14,800.14 = 3,295.23 : x
  2. Step 2: Convert to fraction form
    9,870.81/14,800.14 = 3,295.23/x
  3. Step 3: Cross multiply
    9,870.81x = 14,800.14 × 3,295.23
  4. Step 4: Simplify right side
    9,870.81x = 48,769,865.33
  5. Step 5: Solve for x
    x = 48,769,865.33/9,870.81
  6. Step 6: Final answer
    x = 4,940.82

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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.