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Finding the Fourth Proportional to 9,276.30, 12,786.75 and 7,029.18

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Solution

The fourth proportional to 9,276.30, 12,786.75 and 7,029.18 is: 9,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.30 : 12,786.75 = 7,029.18 : x
  2. Step 2: Convert to fraction form
    9,276.30/12,786.75 = 7,029.18/x
  3. Step 3: Cross multiply
    9,276.30x = 12,786.75 × 7,029.18
  4. Step 4: Simplify right side
    9,276.30x = 89,880,367.37
  5. Step 5: Solve for x
    x = 89,880,367.37/9,276.30
  6. Step 6: Final answer
    x = 9,689.25

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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.