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Finding the Fourth Proportional to 9,724.30, 14,549.63 and 5,777.67

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Solution

The fourth proportional to 9,724.30, 14,549.63 and 5,777.67 is: 8,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.30 : 14,549.63 = 5,777.67 : x
  2. Step 2: Convert to fraction form
    9,724.30/14,549.63 = 5,777.67/x
  3. Step 3: Cross multiply
    9,724.30x = 14,549.63 × 5,777.67
  4. Step 4: Simplify right side
    9,724.30x = 84,062,975.21
  5. Step 5: Solve for x
    x = 84,062,975.21/9,724.30
  6. Step 6: Final answer
    x = 8,644.63

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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.