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Finding the Fourth Proportional to 9,842.01, 14,764.47 and 3,266.70

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Solution

The fourth proportional to 9,842.01, 14,764.47 and 3,266.70 is: 4,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.01 : 14,764.47 = 3,266.70 : x
  2. Step 2: Convert to fraction form
    9,842.01/14,764.47 = 3,266.70/x
  3. Step 3: Cross multiply
    9,842.01x = 14,764.47 × 3,266.70
  4. Step 4: Simplify right side
    9,842.01x = 48,231,094.15
  5. Step 5: Solve for x
    x = 48,231,094.15/9,842.01
  6. Step 6: Final answer
    x = 4,900.53

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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.