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Finding the Fourth Proportional to 6,847.12, 10,276.44 and 6,415.12

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Solution

The fourth proportional to 6,847.12, 10,276.44 and 6,415.12 is: 9,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.12 : 10,276.44 = 6,415.12 : x
  2. Step 2: Convert to fraction form
    6,847.12/10,276.44 = 6,415.12/x
  3. Step 3: Cross multiply
    6,847.12x = 10,276.44 × 6,415.12
  4. Step 4: Simplify right side
    6,847.12x = 65,924,595.77
  5. Step 5: Solve for x
    x = 65,924,595.77/6,847.12
  6. Step 6: Final answer
    x = 9,628.08

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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.