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Finding the Fourth Proportional to 10,205.60, 14,086.72 and 6,669.36

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Solution

The fourth proportional to 10,205.60, 14,086.72 and 6,669.36 is: 9,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.60 : 14,086.72 = 6,669.36 : x
  2. Step 2: Convert to fraction form
    10,205.60/14,086.72 = 6,669.36/x
  3. Step 3: Cross multiply
    10,205.60x = 14,086.72 × 6,669.36
  4. Step 4: Simplify right side
    10,205.60x = 93,949,406.90
  5. Step 5: Solve for x
    x = 93,949,406.90/10,205.60
  6. Step 6: Final answer
    x = 9,205.67

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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.