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Finding the Fourth Proportional to 9,252.34, 13,878.68 and 3,012.32

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Solution

The fourth proportional to 9,252.34, 13,878.68 and 3,012.32 is: 4,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.34 : 13,878.68 = 3,012.32 : x
  2. Step 2: Convert to fraction form
    9,252.34/13,878.68 = 3,012.32/x
  3. Step 3: Cross multiply
    9,252.34x = 13,878.68 × 3,012.32
  4. Step 4: Simplify right side
    9,252.34x = 41,807,025.34
  5. Step 5: Solve for x
    x = 41,807,025.34/9,252.34
  6. Step 6: Final answer
    x = 4,518.54

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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.