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Finding the Fourth Proportional to 6,646.05, 9,170.82 and 4,254.93

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Solution

The fourth proportional to 6,646.05, 9,170.82 and 4,254.93 is: 5,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.05 : 9,170.82 = 4,254.93 : x
  2. Step 2: Convert to fraction form
    6,646.05/9,170.82 = 4,254.93/x
  3. Step 3: Cross multiply
    6,646.05x = 9,170.82 × 4,254.93
  4. Step 4: Simplify right side
    6,646.05x = 39,021,197.14
  5. Step 5: Solve for x
    x = 39,021,197.14/6,646.05
  6. Step 6: Final answer
    x = 5,871.34

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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.