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Finding the Fourth Proportional to 6,570.09, 9,852.54 and 2,408.85

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Solution

The fourth proportional to 6,570.09, 9,852.54 and 2,408.85 is: 3,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.09 : 9,852.54 = 2,408.85 : x
  2. Step 2: Convert to fraction form
    6,570.09/9,852.54 = 2,408.85/x
  3. Step 3: Cross multiply
    6,570.09x = 9,852.54 × 2,408.85
  4. Step 4: Simplify right side
    6,570.09x = 23,733,290.98
  5. Step 5: Solve for x
    x = 23,733,290.98/6,570.09
  6. Step 6: Final answer
    x = 3,612.32

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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.