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Finding the Fourth Proportional to 9,861.78, 14,796.45 and 4,023.30

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Solution

The fourth proportional to 9,861.78, 14,796.45 and 4,023.30 is: 6,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.78 : 14,796.45 = 4,023.30 : x
  2. Step 2: Convert to fraction form
    9,861.78/14,796.45 = 4,023.30/x
  3. Step 3: Cross multiply
    9,861.78x = 14,796.45 × 4,023.30
  4. Step 4: Simplify right side
    9,861.78x = 59,530,557.29
  5. Step 5: Solve for x
    x = 59,530,557.29/9,861.78
  6. Step 6: Final answer
    x = 6,036.49

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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.