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Finding the Fourth Proportional to 9,226.53, 12,728.97 and 5,683.59

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Solution

The fourth proportional to 9,226.53, 12,728.97 and 5,683.59 is: 7,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.53 : 12,728.97 = 5,683.59 : x
  2. Step 2: Convert to fraction form
    9,226.53/12,728.97 = 5,683.59/x
  3. Step 3: Cross multiply
    9,226.53x = 12,728.97 × 5,683.59
  4. Step 4: Simplify right side
    9,226.53x = 72,346,246.60
  5. Step 5: Solve for x
    x = 72,346,246.60/9,226.53
  6. Step 6: Final answer
    x = 7,841.11

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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.