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Finding the Fourth Proportional to 6,962.66, 9,603.04 and 4,311.54

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Solution

The fourth proportional to 6,962.66, 9,603.04 and 4,311.54 is: 5,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.66 : 9,603.04 = 4,311.54 : x
  2. Step 2: Convert to fraction form
    6,962.66/9,603.04 = 4,311.54/x
  3. Step 3: Cross multiply
    6,962.66x = 9,603.04 × 4,311.54
  4. Step 4: Simplify right side
    6,962.66x = 41,403,891.08
  5. Step 5: Solve for x
    x = 41,403,891.08/6,962.66
  6. Step 6: Final answer
    x = 5,946.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.