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Finding the Fourth Proportional to 9,437.68, 13,022.86 and 5,188.04

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Solution

The fourth proportional to 9,437.68, 13,022.86 and 5,188.04 is: 7,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.68 : 13,022.86 = 5,188.04 : x
  2. Step 2: Convert to fraction form
    9,437.68/13,022.86 = 5,188.04/x
  3. Step 3: Cross multiply
    9,437.68x = 13,022.86 × 5,188.04
  4. Step 4: Simplify right side
    9,437.68x = 67,563,063.27
  5. Step 5: Solve for x
    x = 67,563,063.27/9,437.68
  6. Step 6: Final answer
    x = 7,158.87

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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.