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Finding the Fourth Proportional to 9,800.34, 13,528.86 and 5,822.74

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Solution

The fourth proportional to 9,800.34, 13,528.86 and 5,822.74 is: 8,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.34 : 13,528.86 = 5,822.74 : x
  2. Step 2: Convert to fraction form
    9,800.34/13,528.86 = 5,822.74/x
  3. Step 3: Cross multiply
    9,800.34x = 13,528.86 × 5,822.74
  4. Step 4: Simplify right side
    9,800.34x = 78,775,034.28
  5. Step 5: Solve for x
    x = 78,775,034.28/9,800.34
  6. Step 6: Final answer
    x = 8,037.99

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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.