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Finding the Fourth Proportional to 9,470.52, 13,072.19 and 5,492.61

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Solution

The fourth proportional to 9,470.52, 13,072.19 and 5,492.61 is: 7,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.52 : 13,072.19 = 5,492.61 : x
  2. Step 2: Convert to fraction form
    9,470.52/13,072.19 = 5,492.61/x
  3. Step 3: Cross multiply
    9,470.52x = 13,072.19 × 5,492.61
  4. Step 4: Simplify right side
    9,470.52x = 71,800,414.05
  5. Step 5: Solve for x
    x = 71,800,414.05/9,470.52
  6. Step 6: Final answer
    x = 7,581.46

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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.