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Finding the Fourth Proportional to 9,627.24, 14,414.16 and 4,937.16

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Solution

The fourth proportional to 9,627.24, 14,414.16 and 4,937.16 is: 7,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.24 : 14,414.16 = 4,937.16 : x
  2. Step 2: Convert to fraction form
    9,627.24/14,414.16 = 4,937.16/x
  3. Step 3: Cross multiply
    9,627.24x = 14,414.16 × 4,937.16
  4. Step 4: Simplify right side
    9,627.24x = 71,165,014.19
  5. Step 5: Solve for x
    x = 71,165,014.19/9,627.24
  6. Step 6: Final answer
    x = 7,392.05

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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.