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Finding the Fourth Proportional to 9,385.78, 12,955.26 and 5,409.54

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Solution

The fourth proportional to 9,385.78, 12,955.26 and 5,409.54 is: 7,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.78 : 12,955.26 = 5,409.54 : x
  2. Step 2: Convert to fraction form
    9,385.78/12,955.26 = 5,409.54/x
  3. Step 3: Cross multiply
    9,385.78x = 12,955.26 × 5,409.54
  4. Step 4: Simplify right side
    9,385.78x = 70,081,997.18
  5. Step 5: Solve for x
    x = 70,081,997.18/9,385.78
  6. Step 6: Final answer
    x = 7,466.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.