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Finding the Fourth Proportional to 6,355.32, 9,539.16 and 3,894.96

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Solution

The fourth proportional to 6,355.32, 9,539.16 and 3,894.96 is: 5,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.32 : 9,539.16 = 3,894.96 : x
  2. Step 2: Convert to fraction form
    6,355.32/9,539.16 = 3,894.96/x
  3. Step 3: Cross multiply
    6,355.32x = 9,539.16 × 3,894.96
  4. Step 4: Simplify right side
    6,355.32x = 37,154,646.63
  5. Step 5: Solve for x
    x = 37,154,646.63/6,355.32
  6. Step 6: Final answer
    x = 5,846.23

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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.