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Finding the Fourth Proportional to 9,882.50, 14,827.19 and 4,951.04

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Solution

The fourth proportional to 9,882.50, 14,827.19 and 4,951.04 is: 7,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.50 : 14,827.19 = 4,951.04 : x
  2. Step 2: Convert to fraction form
    9,882.50/14,827.19 = 4,951.04/x
  3. Step 3: Cross multiply
    9,882.50x = 14,827.19 × 4,951.04
  4. Step 4: Simplify right side
    9,882.50x = 73,409,911.89
  5. Step 5: Solve for x
    x = 73,409,911.89/9,882.50
  6. Step 6: Final answer
    x = 7,428.28

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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.