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Finding the Fourth Proportional to 6,437.39, 9,656.85 and 2,276.54

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Solution

The fourth proportional to 6,437.39, 9,656.85 and 2,276.54 is: 3,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.39 : 9,656.85 = 2,276.54 : x
  2. Step 2: Convert to fraction form
    6,437.39/9,656.85 = 2,276.54/x
  3. Step 3: Cross multiply
    6,437.39x = 9,656.85 × 2,276.54
  4. Step 4: Simplify right side
    6,437.39x = 21,984,205.30
  5. Step 5: Solve for x
    x = 21,984,205.30/6,437.39
  6. Step 6: Final answer
    x = 3,415.08

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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.