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Finding the Fourth Proportional to 6,384.90, 9,577.03 and 2,223.62

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Solution

The fourth proportional to 6,384.90, 9,577.03 and 2,223.62 is: 3,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.90 : 9,577.03 = 2,223.62 : x
  2. Step 2: Convert to fraction form
    6,384.90/9,577.03 = 2,223.62/x
  3. Step 3: Cross multiply
    6,384.90x = 9,577.03 × 2,223.62
  4. Step 4: Simplify right side
    6,384.90x = 21,295,675.45
  5. Step 5: Solve for x
    x = 21,295,675.45/6,384.90
  6. Step 6: Final answer
    x = 3,335.32

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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.