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Finding the Fourth Proportional to 9,828.63, 13,569.78 and 7,555.56

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Solution

The fourth proportional to 9,828.63, 13,569.78 and 7,555.56 is: 10,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.63 : 13,569.78 = 7,555.56 : x
  2. Step 2: Convert to fraction form
    9,828.63/13,569.78 = 7,555.56/x
  3. Step 3: Cross multiply
    9,828.63x = 13,569.78 × 7,555.56
  4. Step 4: Simplify right side
    9,828.63x = 102,527,286.98
  5. Step 5: Solve for x
    x = 102,527,286.98/9,828.63
  6. Step 6: Final answer
    x = 10,431.49

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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.