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Finding the Fourth Proportional to 6,324.64, 9,485.60 and 6,012.48

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Solution

The fourth proportional to 6,324.64, 9,485.60 and 6,012.48 is: 9,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.64 : 9,485.60 = 6,012.48 : x
  2. Step 2: Convert to fraction form
    6,324.64/9,485.60 = 6,012.48/x
  3. Step 3: Cross multiply
    6,324.64x = 9,485.60 × 6,012.48
  4. Step 4: Simplify right side
    6,324.64x = 57,031,980.29
  5. Step 5: Solve for x
    x = 57,031,980.29/6,324.64
  6. Step 6: Final answer
    x = 9,017.43

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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.