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Finding the Fourth Proportional to 9,243.74, 12,753.32 and 5,209.94

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Solution

The fourth proportional to 9,243.74, 12,753.32 and 5,209.94 is: 7,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.74 : 12,753.32 = 5,209.94 : x
  2. Step 2: Convert to fraction form
    9,243.74/12,753.32 = 5,209.94/x
  3. Step 3: Cross multiply
    9,243.74x = 12,753.32 × 5,209.94
  4. Step 4: Simplify right side
    9,243.74x = 66,444,037.83
  5. Step 5: Solve for x
    x = 66,444,037.83/9,243.74
  6. Step 6: Final answer
    x = 7,188.00

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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.