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Finding the Fourth Proportional to 6,090.34, 9,136.95 and 3,167.98

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Solution

The fourth proportional to 6,090.34, 9,136.95 and 3,167.98 is: 4,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.34 : 9,136.95 = 3,167.98 : x
  2. Step 2: Convert to fraction form
    6,090.34/9,136.95 = 3,167.98/x
  3. Step 3: Cross multiply
    6,090.34x = 9,136.95 × 3,167.98
  4. Step 4: Simplify right side
    6,090.34x = 28,945,674.86
  5. Step 5: Solve for x
    x = 28,945,674.86/6,090.34
  6. Step 6: Final answer
    x = 4,752.72

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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.