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Finding the Fourth Proportional to 9,715.40, 14,576.70 and 3,876.20

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Solution

The fourth proportional to 9,715.40, 14,576.70 and 3,876.20 is: 5,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.40 : 14,576.70 = 3,876.20 : x
  2. Step 2: Convert to fraction form
    9,715.40/14,576.70 = 3,876.20/x
  3. Step 3: Cross multiply
    9,715.40x = 14,576.70 × 3,876.20
  4. Step 4: Simplify right side
    9,715.40x = 56,502,204.54
  5. Step 5: Solve for x
    x = 56,502,204.54/9,715.40
  6. Step 6: Final answer
    x = 5,815.74

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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.