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Finding the Fourth Proportional to 6,529.32, 9,795.33 and 3,194.28

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Solution

The fourth proportional to 6,529.32, 9,795.33 and 3,194.28 is: 4,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.32 : 9,795.33 = 3,194.28 : x
  2. Step 2: Convert to fraction form
    6,529.32/9,795.33 = 3,194.28/x
  3. Step 3: Cross multiply
    6,529.32x = 9,795.33 × 3,194.28
  4. Step 4: Simplify right side
    6,529.32x = 31,289,026.71
  5. Step 5: Solve for x
    x = 31,289,026.71/6,529.32
  6. Step 6: Final answer
    x = 4,792.08

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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.