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Finding the Fourth Proportional to 9,833.85, 14,748.66 and 3,258.54

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Solution

The fourth proportional to 9,833.85, 14,748.66 and 3,258.54 is: 4,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.85 : 14,748.66 = 3,258.54 : x
  2. Step 2: Convert to fraction form
    9,833.85/14,748.66 = 3,258.54/x
  3. Step 3: Cross multiply
    9,833.85x = 14,748.66 × 3,258.54
  4. Step 4: Simplify right side
    9,833.85x = 48,059,098.56
  5. Step 5: Solve for x
    x = 48,059,098.56/9,833.85
  6. Step 6: Final answer
    x = 4,887.11

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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.