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Finding the Fourth Proportional to 6,284.04, 9,409.32 and 5,193.24

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Solution

The fourth proportional to 6,284.04, 9,409.32 and 5,193.24 is: 7,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.04 : 9,409.32 = 5,193.24 : x
  2. Step 2: Convert to fraction form
    6,284.04/9,409.32 = 5,193.24/x
  3. Step 3: Cross multiply
    6,284.04x = 9,409.32 × 5,193.24
  4. Step 4: Simplify right side
    6,284.04x = 48,864,857.00
  5. Step 5: Solve for x
    x = 48,864,857.00/6,284.04
  6. Step 6: Final answer
    x = 7,776.03

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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.