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Finding the Fourth Proportional to 9,563.82, 13,194.36 and 7,051.89

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Solution

The fourth proportional to 9,563.82, 13,194.36 and 7,051.89 is: 9,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.82 : 13,194.36 = 7,051.89 : x
  2. Step 2: Convert to fraction form
    9,563.82/13,194.36 = 7,051.89/x
  3. Step 3: Cross multiply
    9,563.82x = 13,194.36 × 7,051.89
  4. Step 4: Simplify right side
    9,563.82x = 93,045,175.34
  5. Step 5: Solve for x
    x = 93,045,175.34/9,563.82
  6. Step 6: Final answer
    x = 9,728.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.