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Finding the Fourth Proportional to 9,756.63, 14,636.37 and 3,181.20

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Solution

The fourth proportional to 9,756.63, 14,636.37 and 3,181.20 is: 4,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.63 : 14,636.37 = 3,181.20 : x
  2. Step 2: Convert to fraction form
    9,756.63/14,636.37 = 3,181.20/x
  3. Step 3: Cross multiply
    9,756.63x = 14,636.37 × 3,181.20
  4. Step 4: Simplify right side
    9,756.63x = 46,561,220.24
  5. Step 5: Solve for x
    x = 46,561,220.24/9,756.63
  6. Step 6: Final answer
    x = 4,772.26

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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.