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Finding the Fourth Proportional to 9,349.70, 12,901.97 and 5,812.22

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Solution

The fourth proportional to 9,349.70, 12,901.97 and 5,812.22 is: 8,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.70 : 12,901.97 = 5,812.22 : x
  2. Step 2: Convert to fraction form
    9,349.70/12,901.97 = 5,812.22/x
  3. Step 3: Cross multiply
    9,349.70x = 12,901.97 × 5,812.22
  4. Step 4: Simplify right side
    9,349.70x = 74,988,994.50
  5. Step 5: Solve for x
    x = 74,988,994.50/9,349.70
  6. Step 6: Final answer
    x = 8,020.47

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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.