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Finding the Fourth Proportional to 9,817.89, 14,715.57 and 4,876.48

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Solution

The fourth proportional to 9,817.89, 14,715.57 and 4,876.48 is: 7,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.89 : 14,715.57 = 4,876.48 : x
  2. Step 2: Convert to fraction form
    9,817.89/14,715.57 = 4,876.48/x
  3. Step 3: Cross multiply
    9,817.89x = 14,715.57 × 4,876.48
  4. Step 4: Simplify right side
    9,817.89x = 71,760,182.79
  5. Step 5: Solve for x
    x = 71,760,182.79/9,817.89
  6. Step 6: Final answer
    x = 7,309.12

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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.