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Finding the Fourth Proportional to 6,274.46, 9,403.49 and 2,572.35

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Solution

The fourth proportional to 6,274.46, 9,403.49 and 2,572.35 is: 3,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.46 : 9,403.49 = 2,572.35 : x
  2. Step 2: Convert to fraction form
    6,274.46/9,403.49 = 2,572.35/x
  3. Step 3: Cross multiply
    6,274.46x = 9,403.49 × 2,572.35
  4. Step 4: Simplify right side
    6,274.46x = 24,189,054.64
  5. Step 5: Solve for x
    x = 24,189,054.64/6,274.46
  6. Step 6: Final answer
    x = 3,855.16

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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.