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Finding the Fourth Proportional to 9,477.66, 14,218.58 and 3,634.27

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Solution

The fourth proportional to 9,477.66, 14,218.58 and 3,634.27 is: 5,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.66 : 14,218.58 = 3,634.27 : x
  2. Step 2: Convert to fraction form
    9,477.66/14,218.58 = 3,634.27/x
  3. Step 3: Cross multiply
    9,477.66x = 14,218.58 × 3,634.27
  4. Step 4: Simplify right side
    9,477.66x = 51,674,158.74
  5. Step 5: Solve for x
    x = 51,674,158.74/9,477.66
  6. Step 6: Final answer
    x = 5,452.21

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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.