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Finding the Fourth Proportional to 9,387.14, 12,957.49 and 5,409.84

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Solution

The fourth proportional to 9,387.14, 12,957.49 and 5,409.84 is: 7,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.14 : 12,957.49 = 5,409.84 : x
  2. Step 2: Convert to fraction form
    9,387.14/12,957.49 = 5,409.84/x
  3. Step 3: Cross multiply
    9,387.14x = 12,957.49 × 5,409.84
  4. Step 4: Simplify right side
    9,387.14x = 70,097,947.70
  5. Step 5: Solve for x
    x = 70,097,947.70/9,387.14
  6. Step 6: Final answer
    x = 7,467.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.