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Finding the Fourth Proportional to 6,307.16, 9,446.96 and 5,199.08

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Solution

The fourth proportional to 6,307.16, 9,446.96 and 5,199.08 is: 7,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.16 : 9,446.96 = 5,199.08 : x
  2. Step 2: Convert to fraction form
    6,307.16/9,446.96 = 5,199.08/x
  3. Step 3: Cross multiply
    6,307.16x = 9,446.96 × 5,199.08
  4. Step 4: Simplify right side
    6,307.16x = 49,115,500.80
  5. Step 5: Solve for x
    x = 49,115,500.80/6,307.16
  6. Step 6: Final answer
    x = 7,787.26

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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.