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Finding the Fourth Proportional to 6,109.83, 8,430.86 and 3,421.20

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Solution

The fourth proportional to 6,109.83, 8,430.86 and 3,421.20 is: 4,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.83 : 8,430.86 = 3,421.20 : x
  2. Step 2: Convert to fraction form
    6,109.83/8,430.86 = 3,421.20/x
  3. Step 3: Cross multiply
    6,109.83x = 8,430.86 × 3,421.20
  4. Step 4: Simplify right side
    6,109.83x = 28,843,641.13
  5. Step 5: Solve for x
    x = 28,843,641.13/6,109.83
  6. Step 6: Final answer
    x = 4,720.86

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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.