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Finding the Fourth Proportional to 9,442.32, 14,163.72 and 2,868.48

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Solution

The fourth proportional to 9,442.32, 14,163.72 and 2,868.48 is: 4,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.32 : 14,163.72 = 2,868.48 : x
  2. Step 2: Convert to fraction form
    9,442.32/14,163.72 = 2,868.48/x
  3. Step 3: Cross multiply
    9,442.32x = 14,163.72 × 2,868.48
  4. Step 4: Simplify right side
    9,442.32x = 40,628,347.55
  5. Step 5: Solve for x
    x = 40,628,347.55/9,442.32
  6. Step 6: Final answer
    x = 4,302.79

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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.