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Finding the Fourth Proportional to 6,684.02, 9,224.36 and 4,295.40

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Solution

The fourth proportional to 6,684.02, 9,224.36 and 4,295.40 is: 5,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.02 : 9,224.36 = 4,295.40 : x
  2. Step 2: Convert to fraction form
    6,684.02/9,224.36 = 4,295.40/x
  3. Step 3: Cross multiply
    6,684.02x = 9,224.36 × 4,295.40
  4. Step 4: Simplify right side
    6,684.02x = 39,622,341.73
  5. Step 5: Solve for x
    x = 39,622,341.73/6,684.02
  6. Step 6: Final answer
    x = 5,927.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.