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Finding the Fourth Proportional to 8,421.30, 12,623.85 and 6,546.15

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Solution

The fourth proportional to 8,421.30, 12,623.85 and 6,546.15 is: 9,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.30 : 12,623.85 = 6,546.15 : x
  2. Step 2: Convert to fraction form
    8,421.30/12,623.85 = 6,546.15/x
  3. Step 3: Cross multiply
    8,421.30x = 12,623.85 × 6,546.15
  4. Step 4: Simplify right side
    8,421.30x = 82,637,615.68
  5. Step 5: Solve for x
    x = 82,637,615.68/8,421.30
  6. Step 6: Final answer
    x = 9,812.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.