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Finding the Fourth Proportional to 9,428.67, 14,143.14 and 2,854.85

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Solution

The fourth proportional to 9,428.67, 14,143.14 and 2,854.85 is: 4,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.67 : 14,143.14 = 2,854.85 : x
  2. Step 2: Convert to fraction form
    9,428.67/14,143.14 = 2,854.85/x
  3. Step 3: Cross multiply
    9,428.67x = 14,143.14 × 2,854.85
  4. Step 4: Simplify right side
    9,428.67x = 40,376,472.51
  5. Step 5: Solve for x
    x = 40,376,472.51/9,428.67
  6. Step 6: Final answer
    x = 4,282.31

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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.