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Finding the Fourth Proportional to 9,392.24, 12,949.52 and 6,029.12

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Solution

The fourth proportional to 9,392.24, 12,949.52 and 6,029.12 is: 8,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.24 : 12,949.52 = 6,029.12 : x
  2. Step 2: Convert to fraction form
    9,392.24/12,949.52 = 6,029.12/x
  3. Step 3: Cross multiply
    9,392.24x = 12,949.52 × 6,029.12
  4. Step 4: Simplify right side
    9,392.24x = 78,074,210.02
  5. Step 5: Solve for x
    x = 78,074,210.02/9,392.24
  6. Step 6: Final answer
    x = 8,312.63

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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.