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Finding the Fourth Proportional to 9,837.72, 14,756.76 and 3,990.24

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Solution

The fourth proportional to 9,837.72, 14,756.76 and 3,990.24 is: 5,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.72 : 14,756.76 = 3,990.24 : x
  2. Step 2: Convert to fraction form
    9,837.72/14,756.76 = 3,990.24/x
  3. Step 3: Cross multiply
    9,837.72x = 14,756.76 × 3,990.24
  4. Step 4: Simplify right side
    9,837.72x = 58,883,014.02
  5. Step 5: Solve for x
    x = 58,883,014.02/9,837.72
  6. Step 6: Final answer
    x = 5,985.43

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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.