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Finding the Fourth Proportional to 9,485.69, 14,228.78 and 2,465.54

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Solution

The fourth proportional to 9,485.69, 14,228.78 and 2,465.54 is: 3,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.69 : 14,228.78 = 2,465.54 : x
  2. Step 2: Convert to fraction form
    9,485.69/14,228.78 = 2,465.54/x
  3. Step 3: Cross multiply
    9,485.69x = 14,228.78 × 2,465.54
  4. Step 4: Simplify right side
    9,485.69x = 35,081,610.00
  5. Step 5: Solve for x
    x = 35,081,610.00/9,485.69
  6. Step 6: Final answer
    x = 3,698.37

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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.