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Finding the Fourth Proportional to 10,297.29, 15,313.46 and 9,969.24

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Solution

The fourth proportional to 10,297.29, 15,313.46 and 9,969.24 is: 14,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.29 : 15,313.46 = 9,969.24 : x
  2. Step 2: Convert to fraction form
    10,297.29/15,313.46 = 9,969.24/x
  3. Step 3: Cross multiply
    10,297.29x = 15,313.46 × 9,969.24
  4. Step 4: Simplify right side
    10,297.29x = 152,663,557.97
  5. Step 5: Solve for x
    x = 152,663,557.97/10,297.29
  6. Step 6: Final answer
    x = 14,825.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.