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Finding the Fourth Proportional to 9,301.12, 12,757.64 and 8,800

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Solution

The fourth proportional to 9,301.12, 12,757.64 and 8,800 is: 12,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.12 : 12,757.64 = 8,800 : x
  2. Step 2: Convert to fraction form
    9,301.12/12,757.64 = 8,800/x
  3. Step 3: Cross multiply
    9,301.12x = 12,757.64 × 8,800
  4. Step 4: Simplify right side
    9,301.12x = 112,267,232
  5. Step 5: Solve for x
    x = 112,267,232/9,301.12
  6. Step 6: Final answer
    x = 12,070.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.