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Finding the Fourth Proportional to 9,349.93, 12,902.71 and 5,370.94

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Solution

The fourth proportional to 9,349.93, 12,902.71 and 5,370.94 is: 7,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.93 : 12,902.71 = 5,370.94 : x
  2. Step 2: Convert to fraction form
    9,349.93/12,902.71 = 5,370.94/x
  3. Step 3: Cross multiply
    9,349.93x = 12,902.71 × 5,370.94
  4. Step 4: Simplify right side
    9,349.93x = 69,299,589.88
  5. Step 5: Solve for x
    x = 69,299,589.88/9,349.93
  6. Step 6: Final answer
    x = 7,411.78

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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.