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Finding the Fourth Proportional to 9,473.83, 14,223.04 and 7,284.09

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Solution

The fourth proportional to 9,473.83, 14,223.04 and 7,284.09 is: 10,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.83 : 14,223.04 = 7,284.09 : x
  2. Step 2: Convert to fraction form
    9,473.83/14,223.04 = 7,284.09/x
  3. Step 3: Cross multiply
    9,473.83x = 14,223.04 × 7,284.09
  4. Step 4: Simplify right side
    9,473.83x = 103,601,903.43
  5. Step 5: Solve for x
    x = 103,601,903.43/9,473.83
  6. Step 6: Final answer
    x = 10,935.59

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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.