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Finding the Fourth Proportional to 6,090.18, 9,137.70 and 3,167.70

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Solution

The fourth proportional to 6,090.18, 9,137.70 and 3,167.70 is: 4,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.18 : 9,137.70 = 3,167.70 : x
  2. Step 2: Convert to fraction form
    6,090.18/9,137.70 = 3,167.70/x
  3. Step 3: Cross multiply
    6,090.18x = 9,137.70 × 3,167.70
  4. Step 4: Simplify right side
    6,090.18x = 28,945,492.29
  5. Step 5: Solve for x
    x = 28,945,492.29/6,090.18
  6. Step 6: Final answer
    x = 4,752.81

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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.