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Finding the Fourth Proportional to 6,284.76, 9,419.85 and 5,053.56

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Solution

The fourth proportional to 6,284.76, 9,419.85 and 5,053.56 is: 7,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.76 : 9,419.85 = 5,053.56 : x
  2. Step 2: Convert to fraction form
    6,284.76/9,419.85 = 5,053.56/x
  3. Step 3: Cross multiply
    6,284.76x = 9,419.85 × 5,053.56
  4. Step 4: Simplify right side
    6,284.76x = 47,603,777.17
  5. Step 5: Solve for x
    x = 47,603,777.17/6,284.76
  6. Step 6: Final answer
    x = 7,574.48

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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.