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Finding the Fourth Proportional to 6,962.81, 9,613.06 and 4,837.66

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Solution

The fourth proportional to 6,962.81, 9,613.06 and 4,837.66 is: 6,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.81 : 9,613.06 = 4,837.66 : x
  2. Step 2: Convert to fraction form
    6,962.81/9,613.06 = 4,837.66/x
  3. Step 3: Cross multiply
    6,962.81x = 9,613.06 × 4,837.66
  4. Step 4: Simplify right side
    6,962.81x = 46,504,679.71
  5. Step 5: Solve for x
    x = 46,504,679.71/6,962.81
  6. Step 6: Final answer
    x = 6,679.02

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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.