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Finding the Fourth Proportional to 9,184.43, 12,674.64 and 4,992.77

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Solution

The fourth proportional to 9,184.43, 12,674.64 and 4,992.77 is: 6,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.43 : 12,674.64 = 4,992.77 : x
  2. Step 2: Convert to fraction form
    9,184.43/12,674.64 = 4,992.77/x
  3. Step 3: Cross multiply
    9,184.43x = 12,674.64 × 4,992.77
  4. Step 4: Simplify right side
    9,184.43x = 63,281,498.98
  5. Step 5: Solve for x
    x = 63,281,498.98/9,184.43
  6. Step 6: Final answer
    x = 6,890.09

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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.