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Finding the Fourth Proportional to 9,301.34, 12,834.49 and 5,321.70

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Solution

The fourth proportional to 9,301.34, 12,834.49 and 5,321.70 is: 7,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.34 : 12,834.49 = 5,321.70 : x
  2. Step 2: Convert to fraction form
    9,301.34/12,834.49 = 5,321.70/x
  3. Step 3: Cross multiply
    9,301.34x = 12,834.49 × 5,321.70
  4. Step 4: Simplify right side
    9,301.34x = 68,301,305.43
  5. Step 5: Solve for x
    x = 68,301,305.43/9,301.34
  6. Step 6: Final answer
    x = 7,343.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.