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Finding the Fourth Proportional to 9,473.80, 14,214.79 and 5,086.13

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Solution

The fourth proportional to 9,473.80, 14,214.79 and 5,086.13 is: 7,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.80 : 14,214.79 = 5,086.13 : x
  2. Step 2: Convert to fraction form
    9,473.80/14,214.79 = 5,086.13/x
  3. Step 3: Cross multiply
    9,473.80x = 14,214.79 × 5,086.13
  4. Step 4: Simplify right side
    9,473.80x = 72,298,269.86
  5. Step 5: Solve for x
    x = 72,298,269.86/9,473.80
  6. Step 6: Final answer
    x = 7,631.39

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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.