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Finding the Fourth Proportional to 9,844, 13,584.72 and 5,652.52

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Solution

The fourth proportional to 9,844, 13,584.72 and 5,652.52 is: 7,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844 : 13,584.72 = 5,652.52 : x
  2. Step 2: Convert to fraction form
    9,844/13,584.72 = 5,652.52/x
  3. Step 3: Cross multiply
    9,844x = 13,584.72 × 5,652.52
  4. Step 4: Simplify right side
    9,844x = 76,787,901.49
  5. Step 5: Solve for x
    x = 76,787,901.49/9,844
  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.