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Finding the Fourth Proportional to 6,634.17, 9,155.19 and 3,649.95

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Solution

The fourth proportional to 6,634.17, 9,155.19 and 3,649.95 is: 5,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.17 : 9,155.19 = 3,649.95 : x
  2. Step 2: Convert to fraction form
    6,634.17/9,155.19 = 3,649.95/x
  3. Step 3: Cross multiply
    6,634.17x = 9,155.19 × 3,649.95
  4. Step 4: Simplify right side
    6,634.17x = 33,415,985.74
  5. Step 5: Solve for x
    x = 33,415,985.74/6,634.17
  6. Step 6: Final answer
    x = 5,036.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.