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Finding the Fourth Proportional to 9,502.89, 14,249.48 and 5,063.06

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Solution

The fourth proportional to 9,502.89, 14,249.48 and 5,063.06 is: 7,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.89 : 14,249.48 = 5,063.06 : x
  2. Step 2: Convert to fraction form
    9,502.89/14,249.48 = 5,063.06/x
  3. Step 3: Cross multiply
    9,502.89x = 14,249.48 × 5,063.06
  4. Step 4: Simplify right side
    9,502.89x = 72,145,937.96
  5. Step 5: Solve for x
    x = 72,145,937.96/9,502.89
  6. Step 6: Final answer
    x = 7,592.00

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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.