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Finding the Fourth Proportional to 28,184.39, 42,280.47 and 9,469.77

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Solution

The fourth proportional to 28,184.39, 42,280.47 and 9,469.77 is: 14,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184.39 : 42,280.47 = 9,469.77 : x
  2. Step 2: Convert to fraction form
    28,184.39/42,280.47 = 9,469.77/x
  3. Step 3: Cross multiply
    28,184.39x = 42,280.47 × 9,469.77
  4. Step 4: Simplify right side
    28,184.39x = 400,386,408.42
  5. Step 5: Solve for x
    x = 400,386,408.42/28,184.39
  6. Step 6: Final answer
    x = 14,205.97

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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.