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Finding the Fourth Proportional to 9,664.40, 13,340.04 and 8,818.64

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Solution

The fourth proportional to 9,664.40, 13,340.04 and 8,818.64 is: 12,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.40 : 13,340.04 = 8,818.64 : x
  2. Step 2: Convert to fraction form
    9,664.40/13,340.04 = 8,818.64/x
  3. Step 3: Cross multiply
    9,664.40x = 13,340.04 × 8,818.64
  4. Step 4: Simplify right side
    9,664.40x = 117,641,010.35
  5. Step 5: Solve for x
    x = 117,641,010.35/9,664.40
  6. Step 6: Final answer
    x = 12,172.61

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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.