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Finding the Fourth Proportional to 6,109.13, 8,430.60 and 3,314.63

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Solution

The fourth proportional to 6,109.13, 8,430.60 and 3,314.63 is: 4,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.13 : 8,430.60 = 3,314.63 : x
  2. Step 2: Convert to fraction form
    6,109.13/8,430.60 = 3,314.63/x
  3. Step 3: Cross multiply
    6,109.13x = 8,430.60 × 3,314.63
  4. Step 4: Simplify right side
    6,109.13x = 27,944,277.53
  5. Step 5: Solve for x
    x = 27,944,277.53/6,109.13
  6. Step 6: Final answer
    x = 4,574.19

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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.