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Finding the Fourth Proportional to 9,613.16, 13,263.89 and 5,836.23

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Solution

The fourth proportional to 9,613.16, 13,263.89 and 5,836.23 is: 8,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.16 : 13,263.89 = 5,836.23 : x
  2. Step 2: Convert to fraction form
    9,613.16/13,263.89 = 5,836.23/x
  3. Step 3: Cross multiply
    9,613.16x = 13,263.89 × 5,836.23
  4. Step 4: Simplify right side
    9,613.16x = 77,411,112.73
  5. Step 5: Solve for x
    x = 77,411,112.73/9,613.16
  6. Step 6: Final answer
    x = 8,052.62

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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.