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Finding the Fourth Proportional to 9,384.67, 14,041.16 and 8,205.96

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Solution

The fourth proportional to 9,384.67, 14,041.16 and 8,205.96 is: 12,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.67 : 14,041.16 = 8,205.96 : x
  2. Step 2: Convert to fraction form
    9,384.67/14,041.16 = 8,205.96/x
  3. Step 3: Cross multiply
    9,384.67x = 14,041.16 × 8,205.96
  4. Step 4: Simplify right side
    9,384.67x = 115,221,197.31
  5. Step 5: Solve for x
    x = 115,221,197.31/9,384.67
  6. Step 6: Final answer
    x = 12,277.60

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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.