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Finding the Fourth Proportional to 6,335.32, 9,507.06 and 3,415.66

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Solution

The fourth proportional to 6,335.32, 9,507.06 and 3,415.66 is: 5,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.32 : 9,507.06 = 3,415.66 : x
  2. Step 2: Convert to fraction form
    6,335.32/9,507.06 = 3,415.66/x
  3. Step 3: Cross multiply
    6,335.32x = 9,507.06 × 3,415.66
  4. Step 4: Simplify right side
    6,335.32x = 32,472,884.56
  5. Step 5: Solve for x
    x = 32,472,884.56/6,335.32
  6. Step 6: Final answer
    x = 5,125.69

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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.