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Finding the Fourth Proportional to 9,473.67, 14,214.60 and 5,086

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Solution

The fourth proportional to 9,473.67, 14,214.60 and 5,086 is: 7,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.67 : 14,214.60 = 5,086 : x
  2. Step 2: Convert to fraction form
    9,473.67/14,214.60 = 5,086/x
  3. Step 3: Cross multiply
    9,473.67x = 14,214.60 × 5,086
  4. Step 4: Simplify right side
    9,473.67x = 72,295,455.60
  5. Step 5: Solve for x
    x = 72,295,455.60/9,473.67
  6. Step 6: Final answer
    x = 7,631.20

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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.