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Finding the Fourth Proportional to 9,775.40, 14,665.26 and 4,847.72

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Solution

The fourth proportional to 9,775.40, 14,665.26 and 4,847.72 is: 7,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.40 : 14,665.26 = 4,847.72 : x
  2. Step 2: Convert to fraction form
    9,775.40/14,665.26 = 4,847.72/x
  3. Step 3: Cross multiply
    9,775.40x = 14,665.26 × 4,847.72
  4. Step 4: Simplify right side
    9,775.40x = 71,093,074.21
  5. Step 5: Solve for x
    x = 71,093,074.21/9,775.40
  6. Step 6: Final answer
    x = 7,272.65

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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.