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Finding the Fourth Proportional to 6,071.34, 9,092.83 and 4,673.58

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Solution

The fourth proportional to 6,071.34, 9,092.83 and 4,673.58 is: 6,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.34 : 9,092.83 = 4,673.58 : x
  2. Step 2: Convert to fraction form
    6,071.34/9,092.83 = 4,673.58/x
  3. Step 3: Cross multiply
    6,071.34x = 9,092.83 × 4,673.58
  4. Step 4: Simplify right side
    6,071.34x = 42,496,056.75
  5. Step 5: Solve for x
    x = 42,496,056.75/6,071.34
  6. Step 6: Final answer
    x = 6,999.46

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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.