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Finding the Fourth Proportional to 6,419.43, 9,629.51 and 6,070.35

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Solution

The fourth proportional to 6,419.43, 9,629.51 and 6,070.35 is: 9,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.43 : 9,629.51 = 6,070.35 : x
  2. Step 2: Convert to fraction form
    6,419.43/9,629.51 = 6,070.35/x
  3. Step 3: Cross multiply
    6,419.43x = 9,629.51 × 6,070.35
  4. Step 4: Simplify right side
    6,419.43x = 58,454,496.03
  5. Step 5: Solve for x
    x = 58,454,496.03/6,419.43
  6. Step 6: Final answer
    x = 9,105.87

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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.