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Finding the Fourth Proportional to 6,409.42, 8,852.85 and 4,638.22

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Solution

The fourth proportional to 6,409.42, 8,852.85 and 4,638.22 is: 6,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.42 : 8,852.85 = 4,638.22 : x
  2. Step 2: Convert to fraction form
    6,409.42/8,852.85 = 4,638.22/x
  3. Step 3: Cross multiply
    6,409.42x = 8,852.85 × 4,638.22
  4. Step 4: Simplify right side
    6,409.42x = 41,061,465.93
  5. Step 5: Solve for x
    x = 41,061,465.93/6,409.42
  6. Step 6: Final answer
    x = 6,406.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.