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Finding the Fourth Proportional to 9,478.88, 14,218.32 and 3,635.48

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Solution

The fourth proportional to 9,478.88, 14,218.32 and 3,635.48 is: 5,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.88 : 14,218.32 = 3,635.48 : x
  2. Step 2: Convert to fraction form
    9,478.88/14,218.32 = 3,635.48/x
  3. Step 3: Cross multiply
    9,478.88x = 14,218.32 × 3,635.48
  4. Step 4: Simplify right side
    9,478.88x = 51,690,417.99
  5. Step 5: Solve for x
    x = 51,690,417.99/9,478.88
  6. Step 6: Final answer
    x = 5,453.22

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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.