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Finding the Fourth Proportional to 9,184.34, 13,776.03 and 2,609.66

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Solution

The fourth proportional to 9,184.34, 13,776.03 and 2,609.66 is: 3,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.34 : 13,776.03 = 2,609.66 : x
  2. Step 2: Convert to fraction form
    9,184.34/13,776.03 = 2,609.66/x
  3. Step 3: Cross multiply
    9,184.34x = 13,776.03 × 2,609.66
  4. Step 4: Simplify right side
    9,184.34x = 35,950,685.57
  5. Step 5: Solve for x
    x = 35,950,685.57/9,184.34
  6. Step 6: Final answer
    x = 3,914.35

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