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Finding the Fourth Proportional to 6,393.43, 8,823.13 and 3,875.04

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Solution

The fourth proportional to 6,393.43, 8,823.13 and 3,875.04 is: 5,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.43 : 8,823.13 = 3,875.04 : x
  2. Step 2: Convert to fraction form
    6,393.43/8,823.13 = 3,875.04/x
  3. Step 3: Cross multiply
    6,393.43x = 8,823.13 × 3,875.04
  4. Step 4: Simplify right side
    6,393.43x = 34,189,971.99
  5. Step 5: Solve for x
    x = 34,189,971.99/6,393.43
  6. Step 6: Final answer
    x = 5,347.67

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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.