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Finding the Fourth Proportional to 9,634.41, 14,458.91 and 4,443.93

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Solution

The fourth proportional to 9,634.41, 14,458.91 and 4,443.93 is: 6,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.41 : 14,458.91 = 4,443.93 : x
  2. Step 2: Convert to fraction form
    9,634.41/14,458.91 = 4,443.93/x
  3. Step 3: Cross multiply
    9,634.41x = 14,458.91 × 4,443.93
  4. Step 4: Simplify right side
    9,634.41x = 64,254,361.70
  5. Step 5: Solve for x
    x = 64,254,361.70/9,634.41
  6. Step 6: Final answer
    x = 6,669.26

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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.