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Finding the Fourth Proportional to 9,405.99, 12,979.71 and 5,156.22

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Solution

The fourth proportional to 9,405.99, 12,979.71 and 5,156.22 is: 7,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.99 : 12,979.71 = 5,156.22 : x
  2. Step 2: Convert to fraction form
    9,405.99/12,979.71 = 5,156.22/x
  3. Step 3: Cross multiply
    9,405.99x = 12,979.71 × 5,156.22
  4. Step 4: Simplify right side
    9,405.99x = 66,926,240.30
  5. Step 5: Solve for x
    x = 66,926,240.30/9,405.99
  6. Step 6: Final answer
    x = 7,115.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.