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Finding the Fourth Proportional to 9,537.56, 13,161.78 and 5,345.84

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Solution

The fourth proportional to 9,537.56, 13,161.78 and 5,345.84 is: 7,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.56 : 13,161.78 = 5,345.84 : x
  2. Step 2: Convert to fraction form
    9,537.56/13,161.78 = 5,345.84/x
  3. Step 3: Cross multiply
    9,537.56x = 13,161.78 × 5,345.84
  4. Step 4: Simplify right side
    9,537.56x = 70,360,770.00
  5. Step 5: Solve for x
    x = 70,360,770.00/9,537.56
  6. Step 6: Final answer
    x = 7,377.23

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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.