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Finding the Fourth Proportional to 9,485.10, 14,230.85 and 5,971.01

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Solution

The fourth proportional to 9,485.10, 14,230.85 and 5,971.01 is: 8,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.10 : 14,230.85 = 5,971.01 : x
  2. Step 2: Convert to fraction form
    9,485.10/14,230.85 = 5,971.01/x
  3. Step 3: Cross multiply
    9,485.10x = 14,230.85 × 5,971.01
  4. Step 4: Simplify right side
    9,485.10x = 84,972,446.65
  5. Step 5: Solve for x
    x = 84,972,446.65/9,485.10
  6. Step 6: Final answer
    x = 8,958.52

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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.