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Finding the Fourth Proportional to 9,633.56, 14,448.83 and 3,058.88

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Solution

The fourth proportional to 9,633.56, 14,448.83 and 3,058.88 is: 4,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.56 : 14,448.83 = 3,058.88 : x
  2. Step 2: Convert to fraction form
    9,633.56/14,448.83 = 3,058.88/x
  3. Step 3: Cross multiply
    9,633.56x = 14,448.83 × 3,058.88
  4. Step 4: Simplify right side
    9,633.56x = 44,197,149.57
  5. Step 5: Solve for x
    x = 44,197,149.57/9,633.56
  6. Step 6: Final answer
    x = 4,587.83

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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.