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Finding the Fourth Proportional to 6,333.26, 9,506.57 and 5,176.58

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Solution

The fourth proportional to 6,333.26, 9,506.57 and 5,176.58 is: 7,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.26 : 9,506.57 = 5,176.58 : x
  2. Step 2: Convert to fraction form
    6,333.26/9,506.57 = 5,176.58/x
  3. Step 3: Cross multiply
    6,333.26x = 9,506.57 × 5,176.58
  4. Step 4: Simplify right side
    6,333.26x = 49,211,446.71
  5. Step 5: Solve for x
    x = 49,211,446.71/6,333.26
  6. Step 6: Final answer
    x = 7,770.32

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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.