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Finding the Fourth Proportional to 9,752.67, 14,629.14 and 4,202.55

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Solution

The fourth proportional to 9,752.67, 14,629.14 and 4,202.55 is: 6,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.67 : 14,629.14 = 4,202.55 : x
  2. Step 2: Convert to fraction form
    9,752.67/14,629.14 = 4,202.55/x
  3. Step 3: Cross multiply
    9,752.67x = 14,629.14 × 4,202.55
  4. Step 4: Simplify right side
    9,752.67x = 61,479,692.31
  5. Step 5: Solve for x
    x = 61,479,692.31/9,752.67
  6. Step 6: Final answer
    x = 6,303.88

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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.