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Finding the Fourth Proportional to 6,086.34, 9,130.95 and 3,163.98

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Solution

The fourth proportional to 6,086.34, 9,130.95 and 3,163.98 is: 4,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.34 : 9,130.95 = 3,163.98 : x
  2. Step 2: Convert to fraction form
    6,086.34/9,130.95 = 3,163.98/x
  3. Step 3: Cross multiply
    6,086.34x = 9,130.95 × 3,163.98
  4. Step 4: Simplify right side
    6,086.34x = 28,890,143.18
  5. Step 5: Solve for x
    x = 28,890,143.18/6,086.34
  6. Step 6: Final answer
    x = 4,746.72

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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.