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Finding the Fourth Proportional to 9,682.32, 14,523.60 and 2,756.82

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Solution

The fourth proportional to 9,682.32, 14,523.60 and 2,756.82 is: 4,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.32 : 14,523.60 = 2,756.82 : x
  2. Step 2: Convert to fraction form
    9,682.32/14,523.60 = 2,756.82/x
  3. Step 3: Cross multiply
    9,682.32x = 14,523.60 × 2,756.82
  4. Step 4: Simplify right side
    9,682.32x = 40,038,950.95
  5. Step 5: Solve for x
    x = 40,038,950.95/9,682.32
  6. Step 6: Final answer
    x = 4,135.26

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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.