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Finding the Fourth Proportional to 8,989.57, 12,405.65 and 5,214.96

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Solution

The fourth proportional to 8,989.57, 12,405.65 and 5,214.96 is: 7,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.57 : 12,405.65 = 5,214.96 : x
  2. Step 2: Convert to fraction form
    8,989.57/12,405.65 = 5,214.96/x
  3. Step 3: Cross multiply
    8,989.57x = 12,405.65 × 5,214.96
  4. Step 4: Simplify right side
    8,989.57x = 64,695,011.73
  5. Step 5: Solve for x
    x = 64,695,011.73/8,989.57
  6. Step 6: Final answer
    x = 7,196.67

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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.