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Finding the Fourth Proportional to 9,823.56, 13,549.14 and 7,181.64

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Solution

The fourth proportional to 9,823.56, 13,549.14 and 7,181.64 is: 9,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.56 : 13,549.14 = 7,181.64 : x
  2. Step 2: Convert to fraction form
    9,823.56/13,549.14 = 7,181.64/x
  3. Step 3: Cross multiply
    9,823.56x = 13,549.14 × 7,181.64
  4. Step 4: Simplify right side
    9,823.56x = 97,305,045.79
  5. Step 5: Solve for x
    x = 97,305,045.79/9,823.56
  6. Step 6: Final answer
    x = 9,905.27

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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.