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Finding the Fourth Proportional to 9,812.97, 13,541.06 and 5,563.06

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Solution

The fourth proportional to 9,812.97, 13,541.06 and 5,563.06 is: 7,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.97 : 13,541.06 = 5,563.06 : x
  2. Step 2: Convert to fraction form
    9,812.97/13,541.06 = 5,563.06/x
  3. Step 3: Cross multiply
    9,812.97x = 13,541.06 × 5,563.06
  4. Step 4: Simplify right side
    9,812.97x = 75,329,709.30
  5. Step 5: Solve for x
    x = 75,329,709.30/9,812.97
  6. Step 6: Final answer
    x = 7,676.55

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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.