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Finding the Fourth Proportional to 9,428.52, 14,142.80 and 2,854.72

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Solution

The fourth proportional to 9,428.52, 14,142.80 and 2,854.72 is: 4,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.52 : 14,142.80 = 2,854.72 : x
  2. Step 2: Convert to fraction form
    9,428.52/14,142.80 = 2,854.72/x
  3. Step 3: Cross multiply
    9,428.52x = 14,142.80 × 2,854.72
  4. Step 4: Simplify right side
    9,428.52x = 40,373,734.02
  5. Step 5: Solve for x
    x = 40,373,734.02/9,428.52
  6. Step 6: Final answer
    x = 4,282.09

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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.