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Finding the Fourth Proportional to 6,203.17, 9,314.70 and 5,748.40

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Solution

The fourth proportional to 6,203.17, 9,314.70 and 5,748.40 is: 8,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.17 : 9,314.70 = 5,748.40 : x
  2. Step 2: Convert to fraction form
    6,203.17/9,314.70 = 5,748.40/x
  3. Step 3: Cross multiply
    6,203.17x = 9,314.70 × 5,748.40
  4. Step 4: Simplify right side
    6,203.17x = 53,544,621.48
  5. Step 5: Solve for x
    x = 53,544,621.48/6,203.17
  6. Step 6: Final answer
    x = 8,631.82

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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.