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Finding the Fourth Proportional to 9,013.95, 12,434.85 and 5,826.33

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Solution

The fourth proportional to 9,013.95, 12,434.85 and 5,826.33 is: 8,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.95 : 12,434.85 = 5,826.33 : x
  2. Step 2: Convert to fraction form
    9,013.95/12,434.85 = 5,826.33/x
  3. Step 3: Cross multiply
    9,013.95x = 12,434.85 × 5,826.33
  4. Step 4: Simplify right side
    9,013.95x = 72,449,539.60
  5. Step 5: Solve for x
    x = 72,449,539.60/9,013.95
  6. Step 6: Final answer
    x = 8,037.49

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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.