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Finding the Fourth Proportional to 9,823.22, 14,723.12 and 6,845.55

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Solution

The fourth proportional to 9,823.22, 14,723.12 and 6,845.55 is: 10,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.22 : 14,723.12 = 6,845.55 : x
  2. Step 2: Convert to fraction form
    9,823.22/14,723.12 = 6,845.55/x
  3. Step 3: Cross multiply
    9,823.22x = 14,723.12 × 6,845.55
  4. Step 4: Simplify right side
    9,823.22x = 100,787,854.12
  5. Step 5: Solve for x
    x = 100,787,854.12/9,823.22
  6. Step 6: Final answer
    x = 10,260.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.