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Finding the Fourth Proportional to 8,834.32, 12,202.05 and 6,440.50

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Solution

The fourth proportional to 8,834.32, 12,202.05 and 6,440.50 is: 8,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.32 : 12,202.05 = 6,440.50 : x
  2. Step 2: Convert to fraction form
    8,834.32/12,202.05 = 6,440.50/x
  3. Step 3: Cross multiply
    8,834.32x = 12,202.05 × 6,440.50
  4. Step 4: Simplify right side
    8,834.32x = 78,587,303.03
  5. Step 5: Solve for x
    x = 78,587,303.03/8,834.32
  6. Step 6: Final answer
    x = 8,895.68

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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.