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Finding the Fourth Proportional to 9,146, 13,716.30 and 2,905.76

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Solution

The fourth proportional to 9,146, 13,716.30 and 2,905.76 is: 4,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 13,716.30 = 2,905.76 : x
  2. Step 2: Convert to fraction form
    9,146/13,716.30 = 2,905.76/x
  3. Step 3: Cross multiply
    9,146x = 13,716.30 × 2,905.76
  4. Step 4: Simplify right side
    9,146x = 39,856,275.89
  5. Step 5: Solve for x
    x = 39,856,275.89/9,146
  6. Step 6: Final answer
    x = 4,357.78

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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.