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Finding the Fourth Proportional to 9,623, 14,434.92 and 3,049.67

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Solution

The fourth proportional to 9,623, 14,434.92 and 3,049.67 is: 4,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 14,434.92 = 3,049.67 : x
  2. Step 2: Convert to fraction form
    9,623/14,434.92 = 3,049.67/x
  3. Step 3: Cross multiply
    9,623x = 14,434.92 × 3,049.67
  4. Step 4: Simplify right side
    9,623x = 44,021,742.48
  5. Step 5: Solve for x
    x = 44,021,742.48/9,623
  6. Step 6: Final answer
    x = 4,574.64

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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.