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Finding the Fourth Proportional to 6,677.17, 9,214.36 and 3,692.93

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Solution

The fourth proportional to 6,677.17, 9,214.36 and 3,692.93 is: 5,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.17 : 9,214.36 = 3,692.93 : x
  2. Step 2: Convert to fraction form
    6,677.17/9,214.36 = 3,692.93/x
  3. Step 3: Cross multiply
    6,677.17x = 9,214.36 × 3,692.93
  4. Step 4: Simplify right side
    6,677.17x = 34,027,931.17
  5. Step 5: Solve for x
    x = 34,027,931.17/6,677.17
  6. Step 6: Final answer
    x = 5,096.16

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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.