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Finding the Fourth Proportional to 9,662.21, 14,498.26 and 4,602.13

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Solution

The fourth proportional to 9,662.21, 14,498.26 and 4,602.13 is: 6,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.21 : 14,498.26 = 4,602.13 : x
  2. Step 2: Convert to fraction form
    9,662.21/14,498.26 = 4,602.13/x
  3. Step 3: Cross multiply
    9,662.21x = 14,498.26 × 4,602.13
  4. Step 4: Simplify right side
    9,662.21x = 66,722,896.21
  5. Step 5: Solve for x
    x = 66,722,896.21/9,662.21
  6. Step 6: Final answer
    x = 6,905.55

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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.