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Finding the Fourth Proportional to 9,618.78, 14,430.20 and 5,460.78

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Solution

The fourth proportional to 9,618.78, 14,430.20 and 5,460.78 is: 8,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.78 : 14,430.20 = 5,460.78 : x
  2. Step 2: Convert to fraction form
    9,618.78/14,430.20 = 5,460.78/x
  3. Step 3: Cross multiply
    9,618.78x = 14,430.20 × 5,460.78
  4. Step 4: Simplify right side
    9,618.78x = 78,800,147.56
  5. Step 5: Solve for x
    x = 78,800,147.56/9,618.78
  6. Step 6: Final answer
    x = 8,192.32

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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.