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Finding the Fourth Proportional to 6,542.88, 9,817.20 and 4,789.56

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Solution

The fourth proportional to 6,542.88, 9,817.20 and 4,789.56 is: 7,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.88 : 9,817.20 = 4,789.56 : x
  2. Step 2: Convert to fraction form
    6,542.88/9,817.20 = 4,789.56/x
  3. Step 3: Cross multiply
    6,542.88x = 9,817.20 × 4,789.56
  4. Step 4: Simplify right side
    6,542.88x = 47,020,068.43
  5. Step 5: Solve for x
    x = 47,020,068.43/6,542.88
  6. Step 6: Final answer
    x = 7,186.45

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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.