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Finding the Fourth Proportional to 9,807.75, 14,718.11 and 4,614.03

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Solution

The fourth proportional to 9,807.75, 14,718.11 and 4,614.03 is: 6,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 14,718.11 = 4,614.03 : x
  2. Step 2: Convert to fraction form
    9,807.75/14,718.11 = 4,614.03/x
  3. Step 3: Cross multiply
    9,807.75x = 14,718.11 × 4,614.03
  4. Step 4: Simplify right side
    9,807.75x = 67,909,778.01
  5. Step 5: Solve for x
    x = 67,909,778.01/9,807.75
  6. Step 6: Final answer
    x = 6,924.09

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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.