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Finding the Fourth Proportional to 9,364.02, 14,042.11 and 3,813.58

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Solution

The fourth proportional to 9,364.02, 14,042.11 and 3,813.58 is: 5,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.02 : 14,042.11 = 3,813.58 : x
  2. Step 2: Convert to fraction form
    9,364.02/14,042.11 = 3,813.58/x
  3. Step 3: Cross multiply
    9,364.02x = 14,042.11 × 3,813.58
  4. Step 4: Simplify right side
    9,364.02x = 53,550,709.85
  5. Step 5: Solve for x
    x = 53,550,709.85/9,364.02
  6. Step 6: Final answer
    x = 5,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.