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Finding the Fourth Proportional to 9,720.48, 13,415.23 and 5,945.34

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Solution

The fourth proportional to 9,720.48, 13,415.23 and 5,945.34 is: 8,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.48 : 13,415.23 = 5,945.34 : x
  2. Step 2: Convert to fraction form
    9,720.48/13,415.23 = 5,945.34/x
  3. Step 3: Cross multiply
    9,720.48x = 13,415.23 × 5,945.34
  4. Step 4: Simplify right side
    9,720.48x = 79,758,103.53
  5. Step 5: Solve for x
    x = 79,758,103.53/9,720.48
  6. Step 6: Final answer
    x = 8,205.16

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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.