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Finding the Fourth Proportional to 9,343.52, 12,892.52 and 5,811.60

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Solution

The fourth proportional to 9,343.52, 12,892.52 and 5,811.60 is: 8,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.52 : 12,892.52 = 5,811.60 : x
  2. Step 2: Convert to fraction form
    9,343.52/12,892.52 = 5,811.60/x
  3. Step 3: Cross multiply
    9,343.52x = 12,892.52 × 5,811.60
  4. Step 4: Simplify right side
    9,343.52x = 74,926,169.23
  5. Step 5: Solve for x
    x = 74,926,169.23/9,343.52
  6. Step 6: Final answer
    x = 8,019.05

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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.