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Finding the Fourth Proportional to 9,861.03, 14,788.35 and 3,285.67

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Solution

The fourth proportional to 9,861.03, 14,788.35 and 3,285.67 is: 4,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.03 : 14,788.35 = 3,285.67 : x
  2. Step 2: Convert to fraction form
    9,861.03/14,788.35 = 3,285.67/x
  3. Step 3: Cross multiply
    9,861.03x = 14,788.35 × 3,285.67
  4. Step 4: Simplify right side
    9,861.03x = 48,589,637.94
  5. Step 5: Solve for x
    x = 48,589,637.94/9,861.03
  6. Step 6: Final answer
    x = 4,927.44

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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.