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Finding the Fourth Proportional to 6,337.06, 9,506.62 and 1,953.49

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Solution

The fourth proportional to 6,337.06, 9,506.62 and 1,953.49 is: 2,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.06 : 9,506.62 = 1,953.49 : x
  2. Step 2: Convert to fraction form
    6,337.06/9,506.62 = 1,953.49/x
  3. Step 3: Cross multiply
    6,337.06x = 9,506.62 × 1,953.49
  4. Step 4: Simplify right side
    6,337.06x = 18,571,099.35
  5. Step 5: Solve for x
    x = 18,571,099.35/6,337.06
  6. Step 6: Final answer
    x = 2,930.55

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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.