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Finding the Fourth Proportional to 9,200.19, 13,801.11 and 2,957.94

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Solution

The fourth proportional to 9,200.19, 13,801.11 and 2,957.94 is: 4,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.19 : 13,801.11 = 2,957.94 : x
  2. Step 2: Convert to fraction form
    9,200.19/13,801.11 = 2,957.94/x
  3. Step 3: Cross multiply
    9,200.19x = 13,801.11 × 2,957.94
  4. Step 4: Simplify right side
    9,200.19x = 40,822,855.31
  5. Step 5: Solve for x
    x = 40,822,855.31/9,200.19
  6. Step 6: Final answer
    x = 4,437.18

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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.