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Finding the Fourth Proportional to 9,841.08, 14,762.70 and 3,266.76

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Solution

The fourth proportional to 9,841.08, 14,762.70 and 3,266.76 is: 4,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.08 : 14,762.70 = 3,266.76 : x
  2. Step 2: Convert to fraction form
    9,841.08/14,762.70 = 3,266.76/x
  3. Step 3: Cross multiply
    9,841.08x = 14,762.70 × 3,266.76
  4. Step 4: Simplify right side
    9,841.08x = 48,226,197.85
  5. Step 5: Solve for x
    x = 48,226,197.85/9,841.08
  6. Step 6: Final answer
    x = 4,900.50

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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.