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Finding the Fourth Proportional to 10,333.44, 14,264.80 and 6,609.60

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Solution

The fourth proportional to 10,333.44, 14,264.80 and 6,609.60 is: 9,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.44 : 14,264.80 = 6,609.60 : x
  2. Step 2: Convert to fraction form
    10,333.44/14,264.80 = 6,609.60/x
  3. Step 3: Cross multiply
    10,333.44x = 14,264.80 × 6,609.60
  4. Step 4: Simplify right side
    10,333.44x = 94,284,622.08
  5. Step 5: Solve for x
    x = 94,284,622.08/10,333.44
  6. Step 6: Final answer
    x = 9,124.22

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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.