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Finding the Fourth Proportional to 8,364.40, 12,554.70 and 4,209.10

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Solution

The fourth proportional to 8,364.40, 12,554.70 and 4,209.10 is: 6,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.40 : 12,554.70 = 4,209.10 : x
  2. Step 2: Convert to fraction form
    8,364.40/12,554.70 = 4,209.10/x
  3. Step 3: Cross multiply
    8,364.40x = 12,554.70 × 4,209.10
  4. Step 4: Simplify right side
    8,364.40x = 52,843,987.77
  5. Step 5: Solve for x
    x = 52,843,987.77/8,364.40
  6. Step 6: Final answer
    x = 6,317.73

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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.