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Finding the Fourth Proportional to 6,507.40, 9,755.34 and 3,043.72

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Solution

The fourth proportional to 6,507.40, 9,755.34 and 3,043.72 is: 4,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.40 : 9,755.34 = 3,043.72 : x
  2. Step 2: Convert to fraction form
    6,507.40/9,755.34 = 3,043.72/x
  3. Step 3: Cross multiply
    6,507.40x = 9,755.34 × 3,043.72
  4. Step 4: Simplify right side
    6,507.40x = 29,692,523.46
  5. Step 5: Solve for x
    x = 29,692,523.46/6,507.40
  6. Step 6: Final answer
    x = 4,562.89

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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.