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Finding the Fourth Proportional to 9,182.16, 12,664.32 and 6,193.24

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Solution

The fourth proportional to 9,182.16, 12,664.32 and 6,193.24 is: 8,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.16 : 12,664.32 = 6,193.24 : x
  2. Step 2: Convert to fraction form
    9,182.16/12,664.32 = 6,193.24/x
  3. Step 3: Cross multiply
    9,182.16x = 12,664.32 × 6,193.24
  4. Step 4: Simplify right side
    9,182.16x = 78,433,173.20
  5. Step 5: Solve for x
    x = 78,433,173.20/9,182.16
  6. Step 6: Final answer
    x = 8,541.91

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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.