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Finding the Fourth Proportional to 9,666.24, 14,499.20 and 4,123.20

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Solution

The fourth proportional to 9,666.24, 14,499.20 and 4,123.20 is: 6,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.24 : 14,499.20 = 4,123.20 : x
  2. Step 2: Convert to fraction form
    9,666.24/14,499.20 = 4,123.20/x
  3. Step 3: Cross multiply
    9,666.24x = 14,499.20 × 4,123.20
  4. Step 4: Simplify right side
    9,666.24x = 59,783,101.44
  5. Step 5: Solve for x
    x = 59,783,101.44/9,666.24
  6. Step 6: Final answer
    x = 6,184.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.