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Finding the Fourth Proportional to 9,134.51, 13,701.65 and 5,236.13

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Solution

The fourth proportional to 9,134.51, 13,701.65 and 5,236.13 is: 7,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.51 : 13,701.65 = 5,236.13 : x
  2. Step 2: Convert to fraction form
    9,134.51/13,701.65 = 5,236.13/x
  3. Step 3: Cross multiply
    9,134.51x = 13,701.65 × 5,236.13
  4. Step 4: Simplify right side
    9,134.51x = 71,743,594.43
  5. Step 5: Solve for x
    x = 71,743,594.43/9,134.51
  6. Step 6: Final answer
    x = 7,854.13

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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.