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Finding the Fourth Proportional to 9,617.99, 14,406.77 and 6,106.20

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Solution

The fourth proportional to 9,617.99, 14,406.77 and 6,106.20 is: 9,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.99 : 14,406.77 = 6,106.20 : x
  2. Step 2: Convert to fraction form
    9,617.99/14,406.77 = 6,106.20/x
  3. Step 3: Cross multiply
    9,617.99x = 14,406.77 × 6,106.20
  4. Step 4: Simplify right side
    9,617.99x = 87,970,588.44
  5. Step 5: Solve for x
    x = 87,970,588.44/9,617.99
  6. Step 6: Final answer
    x = 9,146.47

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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.