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Finding the Fourth Proportional to 6,221.42, 8,586.16 and 4,646.78

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Solution

The fourth proportional to 6,221.42, 8,586.16 and 4,646.78 is: 6,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.42 : 8,586.16 = 4,646.78 : x
  2. Step 2: Convert to fraction form
    6,221.42/8,586.16 = 4,646.78/x
  3. Step 3: Cross multiply
    6,221.42x = 8,586.16 × 4,646.78
  4. Step 4: Simplify right side
    6,221.42x = 39,897,942.02
  5. Step 5: Solve for x
    x = 39,897,942.02/6,221.42
  6. Step 6: Final answer
    x = 6,413.00

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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.