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Finding the Fourth Proportional to 9,604.45, 14,406.67 and 3,031.15

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Solution

The fourth proportional to 9,604.45, 14,406.67 and 3,031.15 is: 4,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.45 : 14,406.67 = 3,031.15 : x
  2. Step 2: Convert to fraction form
    9,604.45/14,406.67 = 3,031.15/x
  3. Step 3: Cross multiply
    9,604.45x = 14,406.67 × 3,031.15
  4. Step 4: Simplify right side
    9,604.45x = 43,668,705.74
  5. Step 5: Solve for x
    x = 43,668,705.74/9,604.45
  6. Step 6: Final answer
    x = 4,546.72

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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.