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Finding the Fourth Proportional to 9,797.15, 13,546.64 and 9,638.88

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Solution

The fourth proportional to 9,797.15, 13,546.64 and 9,638.88 is: 13,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.15 : 13,546.64 = 9,638.88 : x
  2. Step 2: Convert to fraction form
    9,797.15/13,546.64 = 9,638.88/x
  3. Step 3: Cross multiply
    9,797.15x = 13,546.64 × 9,638.88
  4. Step 4: Simplify right side
    9,797.15x = 130,574,389.17
  5. Step 5: Solve for x
    x = 130,574,389.17/9,797.15
  6. Step 6: Final answer
    x = 13,327.80

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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.