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Finding the Fourth Proportional to 8,914.24, 13,374.06 and 4,237.84

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Solution

The fourth proportional to 8,914.24, 13,374.06 and 4,237.84 is: 6,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.24 : 13,374.06 = 4,237.84 : x
  2. Step 2: Convert to fraction form
    8,914.24/13,374.06 = 4,237.84/x
  3. Step 3: Cross multiply
    8,914.24x = 13,374.06 × 4,237.84
  4. Step 4: Simplify right side
    8,914.24x = 56,677,126.43
  5. Step 5: Solve for x
    x = 56,677,126.43/8,914.24
  6. Step 6: Final answer
    x = 6,358.04

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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.