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Finding the Fourth Proportional to 6,328.94, 9,498.15 and 2,384.09

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Solution

The fourth proportional to 6,328.94, 9,498.15 and 2,384.09 is: 3,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.94 : 9,498.15 = 2,384.09 : x
  2. Step 2: Convert to fraction form
    6,328.94/9,498.15 = 2,384.09/x
  3. Step 3: Cross multiply
    6,328.94x = 9,498.15 × 2,384.09
  4. Step 4: Simplify right side
    6,328.94x = 22,644,396.94
  5. Step 5: Solve for x
    x = 22,644,396.94/6,328.94
  6. Step 6: Final answer
    x = 3,577.92

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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.