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Finding the Fourth Proportional to 9,697.32, 13,383.42 and 5,506.36

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Solution

The fourth proportional to 9,697.32, 13,383.42 and 5,506.36 is: 7,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.32 : 13,383.42 = 5,506.36 : x
  2. Step 2: Convert to fraction form
    9,697.32/13,383.42 = 5,506.36/x
  3. Step 3: Cross multiply
    9,697.32x = 13,383.42 × 5,506.36
  4. Step 4: Simplify right side
    9,697.32x = 73,693,928.55
  5. Step 5: Solve for x
    x = 73,693,928.55/9,697.32
  6. Step 6: Final answer
    x = 7,599.41

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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.