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Finding the Fourth Proportional to 9,276.12, 12,794.06 and 6,443.50

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Solution

The fourth proportional to 9,276.12, 12,794.06 and 6,443.50 is: 8,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.12 : 12,794.06 = 6,443.50 : x
  2. Step 2: Convert to fraction form
    9,276.12/12,794.06 = 6,443.50/x
  3. Step 3: Cross multiply
    9,276.12x = 12,794.06 × 6,443.50
  4. Step 4: Simplify right side
    9,276.12x = 82,438,525.61
  5. Step 5: Solve for x
    x = 82,438,525.61/9,276.12
  6. Step 6: Final answer
    x = 8,887.18

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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.