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Finding the Fourth Proportional to 6,134.45, 9,197.98 and 2,756.63

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Solution

The fourth proportional to 6,134.45, 9,197.98 and 2,756.63 is: 4,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.45 : 9,197.98 = 2,756.63 : x
  2. Step 2: Convert to fraction form
    6,134.45/9,197.98 = 2,756.63/x
  3. Step 3: Cross multiply
    6,134.45x = 9,197.98 × 2,756.63
  4. Step 4: Simplify right side
    6,134.45x = 25,355,416.71
  5. Step 5: Solve for x
    x = 25,355,416.71/6,134.45
  6. Step 6: Final answer
    x = 4,133.28

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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.