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Finding the Fourth Proportional to 9,775.89, 14,652.90 and 5,883.03

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Solution

The fourth proportional to 9,775.89, 14,652.90 and 5,883.03 is: 8,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.89 : 14,652.90 = 5,883.03 : x
  2. Step 2: Convert to fraction form
    9,775.89/14,652.90 = 5,883.03/x
  3. Step 3: Cross multiply
    9,775.89x = 14,652.90 × 5,883.03
  4. Step 4: Simplify right side
    9,775.89x = 86,203,450.29
  5. Step 5: Solve for x
    x = 86,203,450.29/9,775.89
  6. Step 6: Final answer
    x = 8,817.96

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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.