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Finding the Fourth Proportional to 9,054.50, 12,496.34 and 6,076.40

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Solution

The fourth proportional to 9,054.50, 12,496.34 and 6,076.40 is: 8,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.50 : 12,496.34 = 6,076.40 : x
  2. Step 2: Convert to fraction form
    9,054.50/12,496.34 = 6,076.40/x
  3. Step 3: Cross multiply
    9,054.50x = 12,496.34 × 6,076.40
  4. Step 4: Simplify right side
    9,054.50x = 75,932,713.09
  5. Step 5: Solve for x
    x = 75,932,713.09/9,054.50
  6. Step 6: Final answer
    x = 8,386.19

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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.