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Finding the Fourth Proportional to 9,768.89, 14,655.15 and 3,193.31

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Solution

The fourth proportional to 9,768.89, 14,655.15 and 3,193.31 is: 4,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.89 : 14,655.15 = 3,193.31 : x
  2. Step 2: Convert to fraction form
    9,768.89/14,655.15 = 3,193.31/x
  3. Step 3: Cross multiply
    9,768.89x = 14,655.15 × 3,193.31
  4. Step 4: Simplify right side
    9,768.89x = 46,798,363.77
  5. Step 5: Solve for x
    x = 46,798,363.77/9,768.89
  6. Step 6: Final answer
    x = 4,790.55

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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.