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Finding the Fourth Proportional to 9,256.36, 13,883.20 and 3,016.40

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Solution

The fourth proportional to 9,256.36, 13,883.20 and 3,016.40 is: 4,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.36 : 13,883.20 = 3,016.40 : x
  2. Step 2: Convert to fraction form
    9,256.36/13,883.20 = 3,016.40/x
  3. Step 3: Cross multiply
    9,256.36x = 13,883.20 × 3,016.40
  4. Step 4: Simplify right side
    9,256.36x = 41,877,284.48
  5. Step 5: Solve for x
    x = 41,877,284.48/9,256.36
  6. Step 6: Final answer
    x = 4,524.16

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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.