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Finding the Fourth Proportional to 9,760.12, 14,621.76 and 4,824

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Solution

The fourth proportional to 9,760.12, 14,621.76 and 4,824 is: 7,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.12 : 14,621.76 = 4,824 : x
  2. Step 2: Convert to fraction form
    9,760.12/14,621.76 = 4,824/x
  3. Step 3: Cross multiply
    9,760.12x = 14,621.76 × 4,824
  4. Step 4: Simplify right side
    9,760.12x = 70,535,370.24
  5. Step 5: Solve for x
    x = 70,535,370.24/9,760.12
  6. Step 6: Final answer
    x = 7,226.90

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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.