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Finding the Fourth Proportional to 9,723, 14,587.08 and 3,883.68

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Solution

The fourth proportional to 9,723, 14,587.08 and 3,883.68 is: 5,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 14,587.08 = 3,883.68 : x
  2. Step 2: Convert to fraction form
    9,723/14,587.08 = 3,883.68/x
  3. Step 3: Cross multiply
    9,723x = 14,587.08 × 3,883.68
  4. Step 4: Simplify right side
    9,723x = 56,651,550.85
  5. Step 5: Solve for x
    x = 56,651,550.85/9,723
  6. Step 6: Final answer
    x = 5,826.55

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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.