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Finding the Fourth Proportional to 9,261.49, 13,894.28 and 4,328.44

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Solution

The fourth proportional to 9,261.49, 13,894.28 and 4,328.44 is: 6,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.49 : 13,894.28 = 4,328.44 : x
  2. Step 2: Convert to fraction form
    9,261.49/13,894.28 = 4,328.44/x
  3. Step 3: Cross multiply
    9,261.49x = 13,894.28 × 4,328.44
  4. Step 4: Simplify right side
    9,261.49x = 60,140,541.52
  5. Step 5: Solve for x
    x = 60,140,541.52/9,261.49
  6. Step 6: Final answer
    x = 6,493.61

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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.