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Finding the Fourth Proportional to 9,205.98, 13,805.91 and 2,964.53

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Solution

The fourth proportional to 9,205.98, 13,805.91 and 2,964.53 is: 4,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.98 : 13,805.91 = 2,964.53 : x
  2. Step 2: Convert to fraction form
    9,205.98/13,805.91 = 2,964.53/x
  3. Step 3: Cross multiply
    9,205.98x = 13,805.91 × 2,964.53
  4. Step 4: Simplify right side
    9,205.98x = 40,927,965.34
  5. Step 5: Solve for x
    x = 40,927,965.34/9,205.98
  6. Step 6: Final answer
    x = 4,445.80

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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.