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Finding the Fourth Proportional to 6,314.57, 9,474.59 and 3,389.46

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Solution

The fourth proportional to 6,314.57, 9,474.59 and 3,389.46 is: 5,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.57 : 9,474.59 = 3,389.46 : x
  2. Step 2: Convert to fraction form
    6,314.57/9,474.59 = 3,389.46/x
  3. Step 3: Cross multiply
    6,314.57x = 9,474.59 × 3,389.46
  4. Step 4: Simplify right side
    6,314.57x = 32,113,743.82
  5. Step 5: Solve for x
    x = 32,113,743.82/6,314.57
  6. Step 6: Final answer
    x = 5,085.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.