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Finding the Fourth Proportional to 10,709.20, 16,063.80 and 9,618.40

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Solution

The fourth proportional to 10,709.20, 16,063.80 and 9,618.40 is: 14,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.20 : 16,063.80 = 9,618.40 : x
  2. Step 2: Convert to fraction form
    10,709.20/16,063.80 = 9,618.40/x
  3. Step 3: Cross multiply
    10,709.20x = 16,063.80 × 9,618.40
  4. Step 4: Simplify right side
    10,709.20x = 154,508,053.92
  5. Step 5: Solve for x
    x = 154,508,053.92/10,709.20
  6. Step 6: Final answer
    x = 14,427.60

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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.