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Finding the Fourth Proportional to 6,871.18, 9,478.74 and 4,349.04

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Solution

The fourth proportional to 6,871.18, 9,478.74 and 4,349.04 is: 5,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.18 : 9,478.74 = 4,349.04 : x
  2. Step 2: Convert to fraction form
    6,871.18/9,478.74 = 4,349.04/x
  3. Step 3: Cross multiply
    6,871.18x = 9,478.74 × 4,349.04
  4. Step 4: Simplify right side
    6,871.18x = 41,223,419.41
  5. Step 5: Solve for x
    x = 41,223,419.41/6,871.18
  6. Step 6: Final answer
    x = 5,999.47

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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.