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Finding the Fourth Proportional to 6,310.06, 9,465.19 and 5,137.16

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Solution

The fourth proportional to 6,310.06, 9,465.19 and 5,137.16 is: 7,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.06 : 9,465.19 = 5,137.16 : x
  2. Step 2: Convert to fraction form
    6,310.06/9,465.19 = 5,137.16/x
  3. Step 3: Cross multiply
    6,310.06x = 9,465.19 × 5,137.16
  4. Step 4: Simplify right side
    6,310.06x = 48,624,135.29
  5. Step 5: Solve for x
    x = 48,624,135.29/6,310.06
  6. Step 6: Final answer
    x = 7,705.81

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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.