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Finding the Fourth Proportional to 9,715.68, 14,573.41 and 3,141.72

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Solution

The fourth proportional to 9,715.68, 14,573.41 and 3,141.72 is: 4,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.68 : 14,573.41 = 3,141.72 : x
  2. Step 2: Convert to fraction form
    9,715.68/14,573.41 = 3,141.72/x
  3. Step 3: Cross multiply
    9,715.68x = 14,573.41 × 3,141.72
  4. Step 4: Simplify right side
    9,715.68x = 45,785,573.67
  5. Step 5: Solve for x
    x = 45,785,573.67/9,715.68
  6. Step 6: Final answer
    x = 4,712.54

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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.