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Finding the Fourth Proportional to 6,094.99, 9,129.73 and 3,892.51

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Solution

The fourth proportional to 6,094.99, 9,129.73 and 3,892.51 is: 5,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.99 : 9,129.73 = 3,892.51 : x
  2. Step 2: Convert to fraction form
    6,094.99/9,129.73 = 3,892.51/x
  3. Step 3: Cross multiply
    6,094.99x = 9,129.73 × 3,892.51
  4. Step 4: Simplify right side
    6,094.99x = 35,537,565.32
  5. Step 5: Solve for x
    x = 35,537,565.32/6,094.99
  6. Step 6: Final answer
    x = 5,830.62

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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.