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Finding the Fourth Proportional to 7,171.44, 9,899.93 and 4,785.39

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Solution

The fourth proportional to 7,171.44, 9,899.93 and 4,785.39 is: 6,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.44 : 9,899.93 = 4,785.39 : x
  2. Step 2: Convert to fraction form
    7,171.44/9,899.93 = 4,785.39/x
  3. Step 3: Cross multiply
    7,171.44x = 9,899.93 × 4,785.39
  4. Step 4: Simplify right side
    7,171.44x = 47,375,026.02
  5. Step 5: Solve for x
    x = 47,375,026.02/7,171.44
  6. Step 6: Final answer
    x = 6,606.07

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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.