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Finding the Fourth Proportional to 9,844.28, 13,585.02 and 5,652.56

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Solution

The fourth proportional to 9,844.28, 13,585.02 and 5,652.56 is: 7,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.28 : 13,585.02 = 5,652.56 : x
  2. Step 2: Convert to fraction form
    9,844.28/13,585.02 = 5,652.56/x
  3. Step 3: Cross multiply
    9,844.28x = 13,585.02 × 5,652.56
  4. Step 4: Simplify right side
    9,844.28x = 76,790,140.65
  5. Step 5: Solve for x
    x = 76,790,140.65/9,844.28
  6. Step 6: Final answer
    x = 7,800.48

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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.