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Finding the Fourth Proportional to 9,184.35, 12,673.28 and 6,206.67

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Solution

The fourth proportional to 9,184.35, 12,673.28 and 6,206.67 is: 8,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.35 : 12,673.28 = 6,206.67 : x
  2. Step 2: Convert to fraction form
    9,184.35/12,673.28 = 6,206.67/x
  3. Step 3: Cross multiply
    9,184.35x = 12,673.28 × 6,206.67
  4. Step 4: Simplify right side
    9,184.35x = 78,658,835.74
  5. Step 5: Solve for x
    x = 78,658,835.74/9,184.35
  6. Step 6: Final answer
    x = 8,564.44

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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.