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Finding the Fourth Proportional to 6,283.44, 9,405.72 and 4,203.36

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Solution

The fourth proportional to 6,283.44, 9,405.72 and 4,203.36 is: 6,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.44 : 9,405.72 = 4,203.36 : x
  2. Step 2: Convert to fraction form
    6,283.44/9,405.72 = 4,203.36/x
  3. Step 3: Cross multiply
    6,283.44x = 9,405.72 × 4,203.36
  4. Step 4: Simplify right side
    6,283.44x = 39,535,627.22
  5. Step 5: Solve for x
    x = 39,535,627.22/6,283.44
  6. Step 6: Final answer
    x = 6,292.04

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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.