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Finding the Fourth Proportional to 9,851.36, 14,778 and 3,278.03

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Solution

The fourth proportional to 9,851.36, 14,778 and 3,278.03 is: 4,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.36 : 14,778 = 3,278.03 : x
  2. Step 2: Convert to fraction form
    9,851.36/14,778 = 3,278.03/x
  3. Step 3: Cross multiply
    9,851.36x = 14,778 × 3,278.03
  4. Step 4: Simplify right side
    9,851.36x = 48,442,653.45
  5. Step 5: Solve for x
    x = 48,442,653.45/9,851.36
  6. Step 6: Final answer
    x = 4,917.36

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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.