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Finding the Fourth Proportional to 9,820.41, 14,730.95 and 3,898.41

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Solution

The fourth proportional to 9,820.41, 14,730.95 and 3,898.41 is: 5,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.41 : 14,730.95 = 3,898.41 : x
  2. Step 2: Convert to fraction form
    9,820.41/14,730.95 = 3,898.41/x
  3. Step 3: Cross multiply
    9,820.41x = 14,730.95 × 3,898.41
  4. Step 4: Simplify right side
    9,820.41x = 57,427,282.79
  5. Step 5: Solve for x
    x = 57,427,282.79/9,820.41
  6. Step 6: Final answer
    x = 5,847.75

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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.