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Finding the Fourth Proportional to 6,417.14, 8,856.24 and 5,074.56

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Solution

The fourth proportional to 6,417.14, 8,856.24 and 5,074.56 is: 7,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.14 : 8,856.24 = 5,074.56 : x
  2. Step 2: Convert to fraction form
    6,417.14/8,856.24 = 5,074.56/x
  3. Step 3: Cross multiply
    6,417.14x = 8,856.24 × 5,074.56
  4. Step 4: Simplify right side
    6,417.14x = 44,941,521.25
  5. Step 5: Solve for x
    x = 44,941,521.25/6,417.14
  6. Step 6: Final answer
    x = 7,003.36

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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.