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Finding the Fourth Proportional to 9,617.94, 14,406.08 and 4,677.21

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Solution

The fourth proportional to 9,617.94, 14,406.08 and 4,677.21 is: 7,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.94 : 14,406.08 = 4,677.21 : x
  2. Step 2: Convert to fraction form
    9,617.94/14,406.08 = 4,677.21/x
  3. Step 3: Cross multiply
    9,617.94x = 14,406.08 × 4,677.21
  4. Step 4: Simplify right side
    9,617.94x = 67,380,238.05
  5. Step 5: Solve for x
    x = 67,380,238.05/9,617.94
  6. Step 6: Final answer
    x = 7,005.68

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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.