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Finding the Fourth Proportional to 6,503.47, 9,758.93 and 6,450.62

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Solution

The fourth proportional to 6,503.47, 9,758.93 and 6,450.62 is: 9,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.47 : 9,758.93 = 6,450.62 : x
  2. Step 2: Convert to fraction form
    6,503.47/9,758.93 = 6,450.62/x
  3. Step 3: Cross multiply
    6,503.47x = 9,758.93 × 6,450.62
  4. Step 4: Simplify right side
    6,503.47x = 62,951,067.99
  5. Step 5: Solve for x
    x = 62,951,067.99/6,503.47
  6. Step 6: Final answer
    x = 9,679.62

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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.