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Finding the Fourth Proportional to 9,664.40, 14,498.42 and 3,088.82

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Solution

The fourth proportional to 9,664.40, 14,498.42 and 3,088.82 is: 4,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.40 : 14,498.42 = 3,088.82 : x
  2. Step 2: Convert to fraction form
    9,664.40/14,498.42 = 3,088.82/x
  3. Step 3: Cross multiply
    9,664.40x = 14,498.42 × 3,088.82
  4. Step 4: Simplify right side
    9,664.40x = 44,782,921.73
  5. Step 5: Solve for x
    x = 44,782,921.73/9,664.40
  6. Step 6: Final answer
    x = 4,633.80

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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.