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Finding the Fourth Proportional to 9,610.20, 14,411.64 and 3,765.48

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Solution

The fourth proportional to 9,610.20, 14,411.64 and 3,765.48 is: 5,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.20 : 14,411.64 = 3,765.48 : x
  2. Step 2: Convert to fraction form
    9,610.20/14,411.64 = 3,765.48/x
  3. Step 3: Cross multiply
    9,610.20x = 14,411.64 × 3,765.48
  4. Step 4: Simplify right side
    9,610.20x = 54,266,742.19
  5. Step 5: Solve for x
    x = 54,266,742.19/9,610.20
  6. Step 6: Final answer
    x = 5,646.79

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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.