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Finding the Fourth Proportional to 9,599.21, 13,237.83 and 6,238.22

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Solution

The fourth proportional to 9,599.21, 13,237.83 and 6,238.22 is: 8,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.21 : 13,237.83 = 6,238.22 : x
  2. Step 2: Convert to fraction form
    9,599.21/13,237.83 = 6,238.22/x
  3. Step 3: Cross multiply
    9,599.21x = 13,237.83 × 6,238.22
  4. Step 4: Simplify right side
    9,599.21x = 82,580,429.67
  5. Step 5: Solve for x
    x = 82,580,429.67/9,599.21
  6. Step 6: Final answer
    x = 8,602.84

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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.