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Finding the Fourth Proportional to 9,840.26, 14,761.27 and 3,266.50

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Solution

The fourth proportional to 9,840.26, 14,761.27 and 3,266.50 is: 4,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.26 : 14,761.27 = 3,266.50 : x
  2. Step 2: Convert to fraction form
    9,840.26/14,761.27 = 3,266.50/x
  3. Step 3: Cross multiply
    9,840.26x = 14,761.27 × 3,266.50
  4. Step 4: Simplify right side
    9,840.26x = 48,217,688.46
  5. Step 5: Solve for x
    x = 48,217,688.46/9,840.26
  6. Step 6: Final answer
    x = 4,900.04

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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.