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Finding the Fourth Proportional to 37,762.20, 56,643.10 and 9,682.20

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Solution

The fourth proportional to 37,762.20, 56,643.10 and 9,682.20 is: 14,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.20 : 56,643.10 = 9,682.20 : x
  2. Step 2: Convert to fraction form
    37,762.20/56,643.10 = 9,682.20/x
  3. Step 3: Cross multiply
    37,762.20x = 56,643.10 × 9,682.20
  4. Step 4: Simplify right side
    37,762.20x = 548,429,822.82
  5. Step 5: Solve for x
    x = 548,429,822.82/37,762.20
  6. Step 6: Final answer
    x = 14,523.25

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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.