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Finding the Fourth Proportional to 6,476.81, 8,939.46 and 4,586.40

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Solution

The fourth proportional to 6,476.81, 8,939.46 and 4,586.40 is: 6,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.81 : 8,939.46 = 4,586.40 : x
  2. Step 2: Convert to fraction form
    6,476.81/8,939.46 = 4,586.40/x
  3. Step 3: Cross multiply
    6,476.81x = 8,939.46 × 4,586.40
  4. Step 4: Simplify right side
    6,476.81x = 40,999,939.34
  5. Step 5: Solve for x
    x = 40,999,939.34/6,476.81
  6. Step 6: Final answer
    x = 6,330.27

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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.