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Finding the Fourth Proportional to 9,765.48, 14,648.94 and 3,529.20

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Solution

The fourth proportional to 9,765.48, 14,648.94 and 3,529.20 is: 5,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.48 : 14,648.94 = 3,529.20 : x
  2. Step 2: Convert to fraction form
    9,765.48/14,648.94 = 3,529.20/x
  3. Step 3: Cross multiply
    9,765.48x = 14,648.94 × 3,529.20
  4. Step 4: Simplify right side
    9,765.48x = 51,699,039.05
  5. Step 5: Solve for x
    x = 51,699,039.05/9,765.48
  6. Step 6: Final answer
    x = 5,294.06

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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.