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Finding the Fourth Proportional to 9,562.32, 14,338.62 and 4,629.42

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Solution

The fourth proportional to 9,562.32, 14,338.62 and 4,629.42 is: 6,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.32 : 14,338.62 = 4,629.42 : x
  2. Step 2: Convert to fraction form
    9,562.32/14,338.62 = 4,629.42/x
  3. Step 3: Cross multiply
    9,562.32x = 14,338.62 × 4,629.42
  4. Step 4: Simplify right side
    9,562.32x = 66,379,494.20
  5. Step 5: Solve for x
    x = 66,379,494.20/9,562.32
  6. Step 6: Final answer
    x = 6,941.78

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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.