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Finding the Fourth Proportional to 9,814.91, 14,707.24 and 4,546.67

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Solution

The fourth proportional to 9,814.91, 14,707.24 and 4,546.67 is: 6,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.91 : 14,707.24 = 4,546.67 : x
  2. Step 2: Convert to fraction form
    9,814.91/14,707.24 = 4,546.67/x
  3. Step 3: Cross multiply
    9,814.91x = 14,707.24 × 4,546.67
  4. Step 4: Simplify right side
    9,814.91x = 66,868,881.99
  5. Step 5: Solve for x
    x = 66,868,881.99/9,814.91
  6. Step 6: Final answer
    x = 6,812.99

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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.