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Finding the Fourth Proportional to 9,244.80, 13,838.40 and 5,337.60

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Solution

The fourth proportional to 9,244.80, 13,838.40 and 5,337.60 is: 7,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.80 : 13,838.40 = 5,337.60 : x
  2. Step 2: Convert to fraction form
    9,244.80/13,838.40 = 5,337.60/x
  3. Step 3: Cross multiply
    9,244.80x = 13,838.40 × 5,337.60
  4. Step 4: Simplify right side
    9,244.80x = 73,863,843.84
  5. Step 5: Solve for x
    x = 73,863,843.84/9,244.80
  6. Step 6: Final answer
    x = 7,989.77

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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.