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Finding the Fourth Proportional to 8,846.67, 13,254.73 and 6,209.15

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Solution

The fourth proportional to 8,846.67, 13,254.73 and 6,209.15 is: 9,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.67 : 13,254.73 = 6,209.15 : x
  2. Step 2: Convert to fraction form
    8,846.67/13,254.73 = 6,209.15/x
  3. Step 3: Cross multiply
    8,846.67x = 13,254.73 × 6,209.15
  4. Step 4: Simplify right side
    8,846.67x = 82,300,639.92
  5. Step 5: Solve for x
    x = 82,300,639.92/8,846.67
  6. Step 6: Final answer
    x = 9,303.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.