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Finding the Fourth Proportional to 9,471.92, 14,214.36 and 4,858.16

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Solution

The fourth proportional to 9,471.92, 14,214.36 and 4,858.16 is: 7,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.92 : 14,214.36 = 4,858.16 : x
  2. Step 2: Convert to fraction form
    9,471.92/14,214.36 = 4,858.16/x
  3. Step 3: Cross multiply
    9,471.92x = 14,214.36 × 4,858.16
  4. Step 4: Simplify right side
    9,471.92x = 69,055,635.18
  5. Step 5: Solve for x
    x = 69,055,635.18/9,471.92
  6. Step 6: Final answer
    x = 7,290.56

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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.