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Finding the Fourth Proportional to 6,077.67, 9,116.49 and 4,693.02

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Solution

The fourth proportional to 6,077.67, 9,116.49 and 4,693.02 is: 7,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.67 : 9,116.49 = 4,693.02 : x
  2. Step 2: Convert to fraction form
    6,077.67/9,116.49 = 4,693.02/x
  3. Step 3: Cross multiply
    6,077.67x = 9,116.49 × 4,693.02
  4. Step 4: Simplify right side
    6,077.67x = 42,783,869.90
  5. Step 5: Solve for x
    x = 42,783,869.90/6,077.67
  6. Step 6: Final answer
    x = 7,039.52

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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.