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Finding the Fourth Proportional to 9,496.88, 13,103.12 and 5,305.04

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Solution

The fourth proportional to 9,496.88, 13,103.12 and 5,305.04 is: 7,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.88 : 13,103.12 = 5,305.04 : x
  2. Step 2: Convert to fraction form
    9,496.88/13,103.12 = 5,305.04/x
  3. Step 3: Cross multiply
    9,496.88x = 13,103.12 × 5,305.04
  4. Step 4: Simplify right side
    9,496.88x = 69,512,575.72
  5. Step 5: Solve for x
    x = 69,512,575.72/9,496.88
  6. Step 6: Final answer
    x = 7,319.52

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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.