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Finding the Fourth Proportional to 9,301.80, 12,836.10 and 5,110.12

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Solution

The fourth proportional to 9,301.80, 12,836.10 and 5,110.12 is: 7,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.80 : 12,836.10 = 5,110.12 : x
  2. Step 2: Convert to fraction form
    9,301.80/12,836.10 = 5,110.12/x
  3. Step 3: Cross multiply
    9,301.80x = 12,836.10 × 5,110.12
  4. Step 4: Simplify right side
    9,301.80x = 65,594,011.33
  5. Step 5: Solve for x
    x = 65,594,011.33/9,301.80
  6. Step 6: Final answer
    x = 7,051.75

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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.