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Finding the Fourth Proportional to 9,638.85, 14,458.32 and 4,090.80

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Solution

The fourth proportional to 9,638.85, 14,458.32 and 4,090.80 is: 6,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.85 : 14,458.32 = 4,090.80 : x
  2. Step 2: Convert to fraction form
    9,638.85/14,458.32 = 4,090.80/x
  3. Step 3: Cross multiply
    9,638.85x = 14,458.32 × 4,090.80
  4. Step 4: Simplify right side
    9,638.85x = 59,146,095.46
  5. Step 5: Solve for x
    x = 59,146,095.46/9,638.85
  6. Step 6: Final answer
    x = 6,136.22

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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.