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Finding the Fourth Proportional to 9,154.80, 13,734.50 and 4,227.93

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Solution

The fourth proportional to 9,154.80, 13,734.50 and 4,227.93 is: 6,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.80 : 13,734.50 = 4,227.93 : x
  2. Step 2: Convert to fraction form
    9,154.80/13,734.50 = 4,227.93/x
  3. Step 3: Cross multiply
    9,154.80x = 13,734.50 × 4,227.93
  4. Step 4: Simplify right side
    9,154.80x = 58,068,483.45
  5. Step 5: Solve for x
    x = 58,068,483.45/9,154.80
  6. Step 6: Final answer
    x = 6,342.95

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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.