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Finding the Fourth Proportional to 9,720.82, 13,411.38 and 5,471.02

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Solution

The fourth proportional to 9,720.82, 13,411.38 and 5,471.02 is: 7,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.82 : 13,411.38 = 5,471.02 : x
  2. Step 2: Convert to fraction form
    9,720.82/13,411.38 = 5,471.02/x
  3. Step 3: Cross multiply
    9,720.82x = 13,411.38 × 5,471.02
  4. Step 4: Simplify right side
    9,720.82x = 73,373,928.21
  5. Step 5: Solve for x
    x = 73,373,928.21/9,720.82
  6. Step 6: Final answer
    x = 7,548.12

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Why These Related Problems?

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