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Finding the Fourth Proportional to 9,581.64, 14,363.94 and 3,742.34

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Solution

The fourth proportional to 9,581.64, 14,363.94 and 3,742.34 is: 5,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.64 : 14,363.94 = 3,742.34 : x
  2. Step 2: Convert to fraction form
    9,581.64/14,363.94 = 3,742.34/x
  3. Step 3: Cross multiply
    9,581.64x = 14,363.94 × 3,742.34
  4. Step 4: Simplify right side
    9,581.64x = 53,754,747.22
  5. Step 5: Solve for x
    x = 53,754,747.22/9,581.64
  6. Step 6: Final answer
    x = 5,610.18

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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.