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Finding the Fourth Proportional to 6,852.30, 9,456.38 and 4,199.19

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Solution

The fourth proportional to 6,852.30, 9,456.38 and 4,199.19 is: 5,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.30 : 9,456.38 = 4,199.19 : x
  2. Step 2: Convert to fraction form
    6,852.30/9,456.38 = 4,199.19/x
  3. Step 3: Cross multiply
    6,852.30x = 9,456.38 × 4,199.19
  4. Step 4: Simplify right side
    6,852.30x = 39,709,115.34
  5. Step 5: Solve for x
    x = 39,709,115.34/6,852.30
  6. Step 6: Final answer
    x = 5,795.01

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Why These Related Problems?

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