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Finding the Fourth Proportional to 9,267.69, 12,784.39 and 7,025.61

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Solution

The fourth proportional to 9,267.69, 12,784.39 and 7,025.61 is: 9,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.69 : 12,784.39 = 7,025.61 : x
  2. Step 2: Convert to fraction form
    9,267.69/12,784.39 = 7,025.61/x
  3. Step 3: Cross multiply
    9,267.69x = 12,784.39 × 7,025.61
  4. Step 4: Simplify right side
    9,267.69x = 89,818,120.66
  5. Step 5: Solve for x
    x = 89,818,120.66/9,267.69
  6. Step 6: Final answer
    x = 9,691.53

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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.