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Finding the Fourth Proportional to 6,697.44, 9,237.42 and 5,640.84

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Solution

The fourth proportional to 6,697.44, 9,237.42 and 5,640.84 is: 7,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.44 : 9,237.42 = 5,640.84 : x
  2. Step 2: Convert to fraction form
    6,697.44/9,237.42 = 5,640.84/x
  3. Step 3: Cross multiply
    6,697.44x = 9,237.42 × 5,640.84
  4. Step 4: Simplify right side
    6,697.44x = 52,106,808.23
  5. Step 5: Solve for x
    x = 52,106,808.23/6,697.44
  6. Step 6: Final answer
    x = 7,780.11

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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.