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Finding the Fourth Proportional to 9,807.44, 14,711.76 and 3,233.66

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Solution

The fourth proportional to 9,807.44, 14,711.76 and 3,233.66 is: 4,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 14,711.76 = 3,233.66 : x
  2. Step 2: Convert to fraction form
    9,807.44/14,711.76 = 3,233.66/x
  3. Step 3: Cross multiply
    9,807.44x = 14,711.76 × 3,233.66
  4. Step 4: Simplify right side
    9,807.44x = 47,572,756.28
  5. Step 5: Solve for x
    x = 47,572,756.28/9,807.44
  6. Step 6: Final answer
    x = 4,850.68

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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.