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Finding the Fourth Proportional to 9,267.84, 12,790.92 and 5,909.58

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Solution

The fourth proportional to 9,267.84, 12,790.92 and 5,909.58 is: 8,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.84 : 12,790.92 = 5,909.58 : x
  2. Step 2: Convert to fraction form
    9,267.84/12,790.92 = 5,909.58/x
  3. Step 3: Cross multiply
    9,267.84x = 12,790.92 × 5,909.58
  4. Step 4: Simplify right side
    9,267.84x = 75,588,965.01
  5. Step 5: Solve for x
    x = 75,588,965.01/9,267.84
  6. Step 6: Final answer
    x = 8,156.05

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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.