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Finding the Fourth Proportional to 9,405.35, 12,979.54 and 5,156.33

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Solution

The fourth proportional to 9,405.35, 12,979.54 and 5,156.33 is: 7,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.35 : 12,979.54 = 5,156.33 : x
  2. Step 2: Convert to fraction form
    9,405.35/12,979.54 = 5,156.33/x
  3. Step 3: Cross multiply
    9,405.35x = 12,979.54 × 5,156.33
  4. Step 4: Simplify right side
    9,405.35x = 66,926,733.04
  5. Step 5: Solve for x
    x = 66,926,733.04/9,405.35
  6. Step 6: Final answer
    x = 7,115.82

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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.