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Finding the Fourth Proportional to 5,999.40, 9,007.20 and 4,768.20

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Solution

The fourth proportional to 5,999.40, 9,007.20 and 4,768.20 is: 7,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.40 : 9,007.20 = 4,768.20 : x
  2. Step 2: Convert to fraction form
    5,999.40/9,007.20 = 4,768.20/x
  3. Step 3: Cross multiply
    5,999.40x = 9,007.20 × 4,768.20
  4. Step 4: Simplify right side
    5,999.40x = 42,948,131.04
  5. Step 5: Solve for x
    x = 42,948,131.04/5,999.40
  6. Step 6: Final answer
    x = 7,158.74

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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.