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Finding the Fourth Proportional to 9,206.10, 12,739.41 and 7,966.80

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Solution

The fourth proportional to 9,206.10, 12,739.41 and 7,966.80 is: 11,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.10 : 12,739.41 = 7,966.80 : x
  2. Step 2: Convert to fraction form
    9,206.10/12,739.41 = 7,966.80/x
  3. Step 3: Cross multiply
    9,206.10x = 12,739.41 × 7,966.80
  4. Step 4: Simplify right side
    9,206.10x = 101,492,331.59
  5. Step 5: Solve for x
    x = 101,492,331.59/9,206.10
  6. Step 6: Final answer
    x = 11,024.47

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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.