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Finding the Fourth Proportional to 9,338.24, 12,880.64 and 5,612.24

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Solution

The fourth proportional to 9,338.24, 12,880.64 and 5,612.24 is: 7,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.24 : 12,880.64 = 5,612.24 : x
  2. Step 2: Convert to fraction form
    9,338.24/12,880.64 = 5,612.24/x
  3. Step 3: Cross multiply
    9,338.24x = 12,880.64 × 5,612.24
  4. Step 4: Simplify right side
    9,338.24x = 72,289,243.03
  5. Step 5: Solve for x
    x = 72,289,243.03/9,338.24
  6. Step 6: Final answer
    x = 7,741.21

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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.