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Finding the Fourth Proportional to 28,209.36, 42,284.28 and 9,471.64

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Solution

The fourth proportional to 28,209.36, 42,284.28 and 9,471.64 is: 14,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.36 : 42,284.28 = 9,471.64 : x
  2. Step 2: Convert to fraction form
    28,209.36/42,284.28 = 9,471.64/x
  3. Step 3: Cross multiply
    28,209.36x = 42,284.28 × 9,471.64
  4. Step 4: Simplify right side
    28,209.36x = 400,501,477.82
  5. Step 5: Solve for x
    x = 400,501,477.82/28,209.36
  6. Step 6: Final answer
    x = 14,197.47

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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.