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Finding the Fourth Proportional to 6,273.66, 9,410.49 and 5,098.08

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Solution

The fourth proportional to 6,273.66, 9,410.49 and 5,098.08 is: 7,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.66 : 9,410.49 = 5,098.08 : x
  2. Step 2: Convert to fraction form
    6,273.66/9,410.49 = 5,098.08/x
  3. Step 3: Cross multiply
    6,273.66x = 9,410.49 × 5,098.08
  4. Step 4: Simplify right side
    6,273.66x = 47,975,430.86
  5. Step 5: Solve for x
    x = 47,975,430.86/6,273.66
  6. Step 6: Final answer
    x = 7,647.12

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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.