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Finding the Fourth Proportional to 9,308.40, 12,846.24 and 5,772.75

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Solution

The fourth proportional to 9,308.40, 12,846.24 and 5,772.75 is: 7,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 12,846.24 = 5,772.75 : x
  2. Step 2: Convert to fraction form
    9,308.40/12,846.24 = 5,772.75/x
  3. Step 3: Cross multiply
    9,308.40x = 12,846.24 × 5,772.75
  4. Step 4: Simplify right side
    9,308.40x = 74,158,131.96
  5. Step 5: Solve for x
    x = 74,158,131.96/9,308.40
  6. Step 6: Final answer
    x = 7,966.80

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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.