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Finding the Fourth Proportional to 9,434.43, 13,019.86 and 5,185.88

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Solution

The fourth proportional to 9,434.43, 13,019.86 and 5,185.88 is: 7,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.43 : 13,019.86 = 5,185.88 : x
  2. Step 2: Convert to fraction form
    9,434.43/13,019.86 = 5,185.88/x
  3. Step 3: Cross multiply
    9,434.43x = 13,019.86 × 5,185.88
  4. Step 4: Simplify right side
    9,434.43x = 67,519,431.58
  5. Step 5: Solve for x
    x = 67,519,431.58/9,434.43
  6. Step 6: Final answer
    x = 7,156.70

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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.