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Finding the Fourth Proportional to 6,284.26, 9,419.10 and 5,053.06

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Solution

The fourth proportional to 6,284.26, 9,419.10 and 5,053.06 is: 7,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.26 : 9,419.10 = 5,053.06 : x
  2. Step 2: Convert to fraction form
    6,284.26/9,419.10 = 5,053.06/x
  3. Step 3: Cross multiply
    6,284.26x = 9,419.10 × 5,053.06
  4. Step 4: Simplify right side
    6,284.26x = 47,595,277.45
  5. Step 5: Solve for x
    x = 47,595,277.45/6,284.26
  6. Step 6: Final answer
    x = 7,573.73

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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.