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Finding the Fourth Proportional to 9,681.12, 13,364.01 and 8,196.72

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Solution

The fourth proportional to 9,681.12, 13,364.01 and 8,196.72 is: 11,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.12 : 13,364.01 = 8,196.72 : x
  2. Step 2: Convert to fraction form
    9,681.12/13,364.01 = 8,196.72/x
  3. Step 3: Cross multiply
    9,681.12x = 13,364.01 × 8,196.72
  4. Step 4: Simplify right side
    9,681.12x = 109,541,048.05
  5. Step 5: Solve for x
    x = 109,541,048.05/9,681.12
  6. Step 6: Final answer
    x = 11,314.91

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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.