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Finding the Fourth Proportional to 6,147.28, 8,484.14 and 3,494.08

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Solution

The fourth proportional to 6,147.28, 8,484.14 and 3,494.08 is: 4,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.28 : 8,484.14 = 3,494.08 : x
  2. Step 2: Convert to fraction form
    6,147.28/8,484.14 = 3,494.08/x
  3. Step 3: Cross multiply
    6,147.28x = 8,484.14 × 3,494.08
  4. Step 4: Simplify right side
    6,147.28x = 29,644,263.89
  5. Step 5: Solve for x
    x = 29,644,263.89/6,147.28
  6. Step 6: Final answer
    x = 4,822.34

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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.