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Finding the Fourth Proportional to 6,633.17, 9,154.65 and 4,282.14

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Solution

The fourth proportional to 6,633.17, 9,154.65 and 4,282.14 is: 5,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.17 : 9,154.65 = 4,282.14 : x
  2. Step 2: Convert to fraction form
    6,633.17/9,154.65 = 4,282.14/x
  3. Step 3: Cross multiply
    6,633.17x = 9,154.65 × 4,282.14
  4. Step 4: Simplify right side
    6,633.17x = 39,201,492.95
  5. Step 5: Solve for x
    x = 39,201,492.95/6,633.17
  6. Step 6: Final answer
    x = 5,909.92

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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.