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Finding the Fourth Proportional to 9,715.76, 14,573.94 and 3,141.98

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Solution

The fourth proportional to 9,715.76, 14,573.94 and 3,141.98 is: 4,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.76 : 14,573.94 = 3,141.98 : x
  2. Step 2: Convert to fraction form
    9,715.76/14,573.94 = 3,141.98/x
  3. Step 3: Cross multiply
    9,715.76x = 14,573.94 × 3,141.98
  4. Step 4: Simplify right side
    9,715.76x = 45,791,028.00
  5. Step 5: Solve for x
    x = 45,791,028.00/9,715.76
  6. Step 6: Final answer
    x = 4,713.07

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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.