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Finding the Fourth Proportional to 6,447.30, 9,671.07 and 5,164.26

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Solution

The fourth proportional to 6,447.30, 9,671.07 and 5,164.26 is: 7,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.30 : 9,671.07 = 5,164.26 : x
  2. Step 2: Convert to fraction form
    6,447.30/9,671.07 = 5,164.26/x
  3. Step 3: Cross multiply
    6,447.30x = 9,671.07 × 5,164.26
  4. Step 4: Simplify right side
    6,447.30x = 49,943,919.96
  5. Step 5: Solve for x
    x = 49,943,919.96/6,447.30
  6. Step 6: Final answer
    x = 7,746.49

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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.