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Finding the Fourth Proportional to 9,622.64, 14,434.48 and 2,697.68

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Solution

The fourth proportional to 9,622.64, 14,434.48 and 2,697.68 is: 4,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.64 : 14,434.48 = 2,697.68 : x
  2. Step 2: Convert to fraction form
    9,622.64/14,434.48 = 2,697.68/x
  3. Step 3: Cross multiply
    9,622.64x = 14,434.48 × 2,697.68
  4. Step 4: Simplify right side
    9,622.64x = 38,939,608.01
  5. Step 5: Solve for x
    x = 38,939,608.01/9,622.64
  6. Step 6: Final answer
    x = 4,046.67

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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.