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Finding the Fourth Proportional to 9,610.09, 14,415.74 and 4,062.40

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Solution

The fourth proportional to 9,610.09, 14,415.74 and 4,062.40 is: 6,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.09 : 14,415.74 = 4,062.40 : x
  2. Step 2: Convert to fraction form
    9,610.09/14,415.74 = 4,062.40/x
  3. Step 3: Cross multiply
    9,610.09x = 14,415.74 × 4,062.40
  4. Step 4: Simplify right side
    9,610.09x = 58,562,512.33
  5. Step 5: Solve for x
    x = 58,562,512.33/9,610.09
  6. Step 6: Final answer
    x = 6,093.86

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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.