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Finding the Fourth Proportional to 6,817.60, 9,381.72 and 6,033.52

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Solution

The fourth proportional to 6,817.60, 9,381.72 and 6,033.52 is: 8,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.60 : 9,381.72 = 6,033.52 : x
  2. Step 2: Convert to fraction form
    6,817.60/9,381.72 = 6,033.52/x
  3. Step 3: Cross multiply
    6,817.60x = 9,381.72 × 6,033.52
  4. Step 4: Simplify right side
    6,817.60x = 56,604,795.25
  5. Step 5: Solve for x
    x = 56,604,795.25/6,817.60
  6. Step 6: Final answer
    x = 8,302.75

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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.