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Finding the Fourth Proportional to 9,472.29, 13,069.13 and 5,492.61

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Solution

The fourth proportional to 9,472.29, 13,069.13 and 5,492.61 is: 7,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.29 : 13,069.13 = 5,492.61 : x
  2. Step 2: Convert to fraction form
    9,472.29/13,069.13 = 5,492.61/x
  3. Step 3: Cross multiply
    9,472.29x = 13,069.13 × 5,492.61
  4. Step 4: Simplify right side
    9,472.29x = 71,783,606.67
  5. Step 5: Solve for x
    x = 71,783,606.67/9,472.29
  6. Step 6: Final answer
    x = 7,578.27

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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.