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Finding the Fourth Proportional to 6,102.86, 8,421.95 and 3,308.36

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Solution

The fourth proportional to 6,102.86, 8,421.95 and 3,308.36 is: 4,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.86 : 8,421.95 = 3,308.36 : x
  2. Step 2: Convert to fraction form
    6,102.86/8,421.95 = 3,308.36/x
  3. Step 3: Cross multiply
    6,102.86x = 8,421.95 × 3,308.36
  4. Step 4: Simplify right side
    6,102.86x = 27,862,808.66
  5. Step 5: Solve for x
    x = 27,862,808.66/6,102.86
  6. Step 6: Final answer
    x = 4,565.54

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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.