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Finding the Fourth Proportional to 9,838.40, 14,757.60 and 8,866.40

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Solution

The fourth proportional to 9,838.40, 14,757.60 and 8,866.40 is: 13,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.40 : 14,757.60 = 8,866.40 : x
  2. Step 2: Convert to fraction form
    9,838.40/14,757.60 = 8,866.40/x
  3. Step 3: Cross multiply
    9,838.40x = 14,757.60 × 8,866.40
  4. Step 4: Simplify right side
    9,838.40x = 130,846,784.64
  5. Step 5: Solve for x
    x = 130,846,784.64/9,838.40
  6. Step 6: Final answer
    x = 13,299.60

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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.