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Finding the Fourth Proportional to 9,807.88, 14,711.81 and 2,882.38

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Solution

The fourth proportional to 9,807.88, 14,711.81 and 2,882.38 is: 4,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.88 : 14,711.81 = 2,882.38 : x
  2. Step 2: Convert to fraction form
    9,807.88/14,711.81 = 2,882.38/x
  3. Step 3: Cross multiply
    9,807.88x = 14,711.81 × 2,882.38
  4. Step 4: Simplify right side
    9,807.88x = 42,405,026.91
  5. Step 5: Solve for x
    x = 42,405,026.91/9,807.88
  6. Step 6: Final answer
    x = 4,323.57

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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.