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Finding the Fourth Proportional to 9,039.43, 12,478.95 and 5,684.09

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Solution

The fourth proportional to 9,039.43, 12,478.95 and 5,684.09 is: 7,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.43 : 12,478.95 = 5,684.09 : x
  2. Step 2: Convert to fraction form
    9,039.43/12,478.95 = 5,684.09/x
  3. Step 3: Cross multiply
    9,039.43x = 12,478.95 × 5,684.09
  4. Step 4: Simplify right side
    9,039.43x = 70,931,484.79
  5. Step 5: Solve for x
    x = 70,931,484.79/9,039.43
  6. Step 6: Final answer
    x = 7,846.90

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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.