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Finding the Fourth Proportional to 9,300.72, 12,841.02 and 6,467.16

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Solution

The fourth proportional to 9,300.72, 12,841.02 and 6,467.16 is: 8,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.72 : 12,841.02 = 6,467.16 : x
  2. Step 2: Convert to fraction form
    9,300.72/12,841.02 = 6,467.16/x
  3. Step 3: Cross multiply
    9,300.72x = 12,841.02 × 6,467.16
  4. Step 4: Simplify right side
    9,300.72x = 83,044,930.90
  5. Step 5: Solve for x
    x = 83,044,930.90/9,300.72
  6. Step 6: Final answer
    x = 8,928.87

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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.