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Finding the Fourth Proportional to 9,723.08, 14,604.65 and 6,401.67

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Solution

The fourth proportional to 9,723.08, 14,604.65 and 6,401.67 is: 9,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.08 : 14,604.65 = 6,401.67 : x
  2. Step 2: Convert to fraction form
    9,723.08/14,604.65 = 6,401.67/x
  3. Step 3: Cross multiply
    9,723.08x = 14,604.65 × 6,401.67
  4. Step 4: Simplify right side
    9,723.08x = 93,494,165.77
  5. Step 5: Solve for x
    x = 93,494,165.77/9,723.08
  6. Step 6: Final answer
    x = 9,615.70

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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.