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Finding the Fourth Proportional to 9,826.34, 13,560.02 and 5,350.02

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Solution

The fourth proportional to 9,826.34, 13,560.02 and 5,350.02 is: 7,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.34 : 13,560.02 = 5,350.02 : x
  2. Step 2: Convert to fraction form
    9,826.34/13,560.02 = 5,350.02/x
  3. Step 3: Cross multiply
    9,826.34x = 13,560.02 × 5,350.02
  4. Step 4: Simplify right side
    9,826.34x = 72,546,378.20
  5. Step 5: Solve for x
    x = 72,546,378.20/9,826.34
  6. Step 6: Final answer
    x = 7,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.