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Finding the Fourth Proportional to 9,405.34, 12,949.80 and 7,986.04

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Solution

The fourth proportional to 9,405.34, 12,949.80 and 7,986.04 is: 10,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.34 : 12,949.80 = 7,986.04 : x
  2. Step 2: Convert to fraction form
    9,405.34/12,949.80 = 7,986.04/x
  3. Step 3: Cross multiply
    9,405.34x = 12,949.80 × 7,986.04
  4. Step 4: Simplify right side
    9,405.34x = 103,417,620.79
  5. Step 5: Solve for x
    x = 103,417,620.79/9,405.34
  6. Step 6: Final answer
    x = 10,995.63

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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.