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Finding the Fourth Proportional to 9,600.49, 14,387.27 and 3,670.99

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Solution

The fourth proportional to 9,600.49, 14,387.27 and 3,670.99 is: 5,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.49 : 14,387.27 = 3,670.99 : x
  2. Step 2: Convert to fraction form
    9,600.49/14,387.27 = 3,670.99/x
  3. Step 3: Cross multiply
    9,600.49x = 14,387.27 × 3,670.99
  4. Step 4: Simplify right side
    9,600.49x = 52,815,490.62
  5. Step 5: Solve for x
    x = 52,815,490.62/9,600.49
  6. Step 6: Final answer
    x = 5,501.33

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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.