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Finding the Fourth Proportional to 9,349.42, 12,890.50 and 5,986.71

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Solution

The fourth proportional to 9,349.42, 12,890.50 and 5,986.71 is: 8,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.42 : 12,890.50 = 5,986.71 : x
  2. Step 2: Convert to fraction form
    9,349.42/12,890.50 = 5,986.71/x
  3. Step 3: Cross multiply
    9,349.42x = 12,890.50 × 5,986.71
  4. Step 4: Simplify right side
    9,349.42x = 77,171,685.26
  5. Step 5: Solve for x
    x = 77,171,685.26/9,349.42
  6. Step 6: Final answer
    x = 8,254.17

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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.