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Finding the Fourth Proportional to 6,152.67, 9,200.79 and 4,593.69

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Solution

The fourth proportional to 6,152.67, 9,200.79 and 4,593.69 is: 6,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.67 : 9,200.79 = 4,593.69 : x
  2. Step 2: Convert to fraction form
    6,152.67/9,200.79 = 4,593.69/x
  3. Step 3: Cross multiply
    6,152.67x = 9,200.79 × 4,593.69
  4. Step 4: Simplify right side
    6,152.67x = 42,265,577.02
  5. Step 5: Solve for x
    x = 42,265,577.02/6,152.67
  6. Step 6: Final answer
    x = 6,869.47

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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.