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Finding the Fourth Proportional to 9,807.64, 14,713.94 and 2,882.14

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Solution

The fourth proportional to 9,807.64, 14,713.94 and 2,882.14 is: 4,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.64 : 14,713.94 = 2,882.14 : x
  2. Step 2: Convert to fraction form
    9,807.64/14,713.94 = 2,882.14/x
  3. Step 3: Cross multiply
    9,807.64x = 14,713.94 × 2,882.14
  4. Step 4: Simplify right side
    9,807.64x = 42,407,635.03
  5. Step 5: Solve for x
    x = 42,407,635.03/9,807.64
  6. Step 6: Final answer
    x = 4,323.94

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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.