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Finding the Fourth Proportional to 9,409.34, 12,983.82 and 5,430.22

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Solution

The fourth proportional to 9,409.34, 12,983.82 and 5,430.22 is: 7,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.34 : 12,983.82 = 5,430.22 : x
  2. Step 2: Convert to fraction form
    9,409.34/12,983.82 = 5,430.22/x
  3. Step 3: Cross multiply
    9,409.34x = 12,983.82 × 5,430.22
  4. Step 4: Simplify right side
    9,409.34x = 70,504,999.04
  5. Step 5: Solve for x
    x = 70,504,999.04/9,409.34
  6. Step 6: Final answer
    x = 7,493.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.