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Finding the Fourth Proportional to 6,261, 9,384.12 and 3,486.30

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Solution

The fourth proportional to 6,261, 9,384.12 and 3,486.30 is: 5,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261 : 9,384.12 = 3,486.30 : x
  2. Step 2: Convert to fraction form
    6,261/9,384.12 = 3,486.30/x
  3. Step 3: Cross multiply
    6,261x = 9,384.12 × 3,486.30
  4. Step 4: Simplify right side
    6,261x = 32,715,857.56
  5. Step 5: Solve for x
    x = 32,715,857.56/6,261
  6. Step 6: Final answer
    x = 5,225.34

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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.