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Finding the Fourth Proportional to 9,762.26, 14,651.55 and 5,083.88

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Solution

The fourth proportional to 9,762.26, 14,651.55 and 5,083.88 is: 7,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.26 : 14,651.55 = 5,083.88 : x
  2. Step 2: Convert to fraction form
    9,762.26/14,651.55 = 5,083.88/x
  3. Step 3: Cross multiply
    9,762.26x = 14,651.55 × 5,083.88
  4. Step 4: Simplify right side
    9,762.26x = 74,486,648.76
  5. Step 5: Solve for x
    x = 74,486,648.76/9,762.26
  6. Step 6: Final answer
    x = 7,630.07

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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.