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Finding the Fourth Proportional to 9,235.40, 13,853.10 and 5,337.80

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Solution

The fourth proportional to 9,235.40, 13,853.10 and 5,337.80 is: 8,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.40 : 13,853.10 = 5,337.80 : x
  2. Step 2: Convert to fraction form
    9,235.40/13,853.10 = 5,337.80/x
  3. Step 3: Cross multiply
    9,235.40x = 13,853.10 × 5,337.80
  4. Step 4: Simplify right side
    9,235.40x = 73,945,077.18
  5. Step 5: Solve for x
    x = 73,945,077.18/9,235.40
  6. Step 6: Final answer
    x = 8,006.70

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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.