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Finding the Fourth Proportional to 6,092.33, 9,128.91 and 4,709.05

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Solution

The fourth proportional to 6,092.33, 9,128.91 and 4,709.05 is: 7,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.33 : 9,128.91 = 4,709.05 : x
  2. Step 2: Convert to fraction form
    6,092.33/9,128.91 = 4,709.05/x
  3. Step 3: Cross multiply
    6,092.33x = 9,128.91 × 4,709.05
  4. Step 4: Simplify right side
    6,092.33x = 42,988,470.81
  5. Step 5: Solve for x
    x = 42,988,470.81/6,092.33
  6. Step 6: Final answer
    x = 7,056.17

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