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Finding the Fourth Proportional to 9,643.52, 14,466.24 and 4,450.88

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Solution

The fourth proportional to 9,643.52, 14,466.24 and 4,450.88 is: 6,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.52 : 14,466.24 = 4,450.88 : x
  2. Step 2: Convert to fraction form
    9,643.52/14,466.24 = 4,450.88/x
  3. Step 3: Cross multiply
    9,643.52x = 14,466.24 × 4,450.88
  4. Step 4: Simplify right side
    9,643.52x = 64,387,498.29
  5. Step 5: Solve for x
    x = 64,387,498.29/9,643.52
  6. Step 6: Final answer
    x = 6,676.76

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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.