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Finding the Fourth Proportional to 9,405.59, 12,950.16 and 7,986.29

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Solution

The fourth proportional to 9,405.59, 12,950.16 and 7,986.29 is: 10,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.59 : 12,950.16 = 7,986.29 : x
  2. Step 2: Convert to fraction form
    9,405.59/12,950.16 = 7,986.29/x
  3. Step 3: Cross multiply
    9,405.59x = 12,950.16 × 7,986.29
  4. Step 4: Simplify right side
    9,405.59x = 103,423,733.31
  5. Step 5: Solve for x
    x = 103,423,733.31/9,405.59
  6. Step 6: Final answer
    x = 10,995.99

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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.