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Finding the Fourth Proportional to 9,402.01, 14,098.79 and 2,828.69

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Solution

The fourth proportional to 9,402.01, 14,098.79 and 2,828.69 is: 4,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.01 : 14,098.79 = 2,828.69 : x
  2. Step 2: Convert to fraction form
    9,402.01/14,098.79 = 2,828.69/x
  3. Step 3: Cross multiply
    9,402.01x = 14,098.79 × 2,828.69
  4. Step 4: Simplify right side
    9,402.01x = 39,881,095.73
  5. Step 5: Solve for x
    x = 39,881,095.73/9,402.01
  6. Step 6: Final answer
    x = 4,241.76

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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.