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Finding the Fourth Proportional to 6,257.04, 9,363.36 and 5,444.16

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Solution

The fourth proportional to 6,257.04, 9,363.36 and 5,444.16 is: 8,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.04 : 9,363.36 = 5,444.16 : x
  2. Step 2: Convert to fraction form
    6,257.04/9,363.36 = 5,444.16/x
  3. Step 3: Cross multiply
    6,257.04x = 9,363.36 × 5,444.16
  4. Step 4: Simplify right side
    6,257.04x = 50,975,629.98
  5. Step 5: Solve for x
    x = 50,975,629.98/6,257.04
  6. Step 6: Final answer
    x = 8,146.92

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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.