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Finding the Fourth Proportional to 6,649.35, 9,165.68 and 4,549.83

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Solution

The fourth proportional to 6,649.35, 9,165.68 and 4,549.83 is: 6,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.35 : 9,165.68 = 4,549.83 : x
  2. Step 2: Convert to fraction form
    6,649.35/9,165.68 = 4,549.83/x
  3. Step 3: Cross multiply
    6,649.35x = 9,165.68 × 4,549.83
  4. Step 4: Simplify right side
    6,649.35x = 41,702,263.09
  5. Step 5: Solve for x
    x = 41,702,263.09/6,649.35
  6. Step 6: Final answer
    x = 6,271.63

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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.