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Finding the Fourth Proportional to 9,762.44, 14,651.40 and 5,083.78

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Solution

The fourth proportional to 9,762.44, 14,651.40 and 5,083.78 is: 7,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.44 : 14,651.40 = 5,083.78 : x
  2. Step 2: Convert to fraction form
    9,762.44/14,651.40 = 5,083.78/x
  3. Step 3: Cross multiply
    9,762.44x = 14,651.40 × 5,083.78
  4. Step 4: Simplify right side
    9,762.44x = 74,484,457.66
  5. Step 5: Solve for x
    x = 74,484,457.66/9,762.44
  6. Step 6: Final answer
    x = 7,629.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.