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Finding the Fourth Proportional to 9,744.56, 14,624.40 and 3,905

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Solution

The fourth proportional to 9,744.56, 14,624.40 and 3,905 is: 5,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.56 : 14,624.40 = 3,905 : x
  2. Step 2: Convert to fraction form
    9,744.56/14,624.40 = 3,905/x
  3. Step 3: Cross multiply
    9,744.56x = 14,624.40 × 3,905
  4. Step 4: Simplify right side
    9,744.56x = 57,108,282
  5. Step 5: Solve for x
    x = 57,108,282/9,744.56
  6. Step 6: Final answer
    x = 5,860.53

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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.