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Finding the Fourth Proportional to 6,109.20, 8,430.54 and 3,314.64

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Solution

The fourth proportional to 6,109.20, 8,430.54 and 3,314.64 is: 4,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.20 : 8,430.54 = 3,314.64 : x
  2. Step 2: Convert to fraction form
    6,109.20/8,430.54 = 3,314.64/x
  3. Step 3: Cross multiply
    6,109.20x = 8,430.54 × 3,314.64
  4. Step 4: Simplify right side
    6,109.20x = 27,944,205.11
  5. Step 5: Solve for x
    x = 27,944,205.11/6,109.20
  6. Step 6: Final answer
    x = 4,574.12

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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.