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Finding the Fourth Proportional to 10,469.19, 14,433.44 and 8,970.63

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Solution

The fourth proportional to 10,469.19, 14,433.44 and 8,970.63 is: 12,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.19 : 14,433.44 = 8,970.63 : x
  2. Step 2: Convert to fraction form
    10,469.19/14,433.44 = 8,970.63/x
  3. Step 3: Cross multiply
    10,469.19x = 14,433.44 × 8,970.63
  4. Step 4: Simplify right side
    10,469.19x = 129,477,005.01
  5. Step 5: Solve for x
    x = 129,477,005.01/10,469.19
  6. Step 6: Final answer
    x = 12,367.43

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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.