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Finding the Fourth Proportional to 6,892.86, 9,509.40 and 4,502.03

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Solution

The fourth proportional to 6,892.86, 9,509.40 and 4,502.03 is: 6,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.86 : 9,509.40 = 4,502.03 : x
  2. Step 2: Convert to fraction form
    6,892.86/9,509.40 = 4,502.03/x
  3. Step 3: Cross multiply
    6,892.86x = 9,509.40 × 4,502.03
  4. Step 4: Simplify right side
    6,892.86x = 42,811,556.54
  5. Step 5: Solve for x
    x = 42,811,556.54/6,892.86
  6. Step 6: Final answer
    x = 6,211.00

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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.