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Finding the Fourth Proportional to 9,524.46, 14,292.08 and 5,141.82

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Solution

The fourth proportional to 9,524.46, 14,292.08 and 5,141.82 is: 7,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.46 : 14,292.08 = 5,141.82 : x
  2. Step 2: Convert to fraction form
    9,524.46/14,292.08 = 5,141.82/x
  3. Step 3: Cross multiply
    9,524.46x = 14,292.08 × 5,141.82
  4. Step 4: Simplify right side
    9,524.46x = 73,487,302.79
  5. Step 5: Solve for x
    x = 73,487,302.79/9,524.46
  6. Step 6: Final answer
    x = 7,715.64

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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.