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Finding the Fourth Proportional to 6,335.16, 9,503.94 and 2,635.38

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Solution

The fourth proportional to 6,335.16, 9,503.94 and 2,635.38 is: 3,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.16 : 9,503.94 = 2,635.38 : x
  2. Step 2: Convert to fraction form
    6,335.16/9,503.94 = 2,635.38/x
  3. Step 3: Cross multiply
    6,335.16x = 9,503.94 × 2,635.38
  4. Step 4: Simplify right side
    6,335.16x = 25,046,493.40
  5. Step 5: Solve for x
    x = 25,046,493.40/6,335.16
  6. Step 6: Final answer
    x = 3,953.57

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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.