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Finding the Fourth Proportional to 6,290.28, 9,415.98 and 5,357.16

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Solution

The fourth proportional to 6,290.28, 9,415.98 and 5,357.16 is: 8,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.28 : 9,415.98 = 5,357.16 : x
  2. Step 2: Convert to fraction form
    6,290.28/9,415.98 = 5,357.16/x
  3. Step 3: Cross multiply
    6,290.28x = 9,415.98 × 5,357.16
  4. Step 4: Simplify right side
    6,290.28x = 50,442,911.42
  5. Step 5: Solve for x
    x = 50,442,911.42/6,290.28
  6. Step 6: Final answer
    x = 8,019.18

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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.