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Finding the Fourth Proportional to 6,277.69, 9,410.93 and 2,384.83

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Solution

The fourth proportional to 6,277.69, 9,410.93 and 2,384.83 is: 3,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.69 : 9,410.93 = 2,384.83 : x
  2. Step 2: Convert to fraction form
    6,277.69/9,410.93 = 2,384.83/x
  3. Step 3: Cross multiply
    6,277.69x = 9,410.93 × 2,384.83
  4. Step 4: Simplify right side
    6,277.69x = 22,443,450.63
  5. Step 5: Solve for x
    x = 22,443,450.63/6,277.69
  6. Step 6: Final answer
    x = 3,575.11

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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.