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Finding the Fourth Proportional to 9,195.09, 13,787.39 and 8,411.42

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Solution

The fourth proportional to 9,195.09, 13,787.39 and 8,411.42 is: 12,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.09 : 13,787.39 = 8,411.42 : x
  2. Step 2: Convert to fraction form
    9,195.09/13,787.39 = 8,411.42/x
  3. Step 3: Cross multiply
    9,195.09x = 13,787.39 × 8,411.42
  4. Step 4: Simplify right side
    9,195.09x = 115,971,417.00
  5. Step 5: Solve for x
    x = 115,971,417.00/9,195.09
  6. Step 6: Final answer
    x = 12,612.32

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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.