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Finding the Fourth Proportional to 12,964.09, 17,885.12 and 9,615.15

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Solution

The fourth proportional to 12,964.09, 17,885.12 and 9,615.15 is: 13,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.09 : 17,885.12 = 9,615.15 : x
  2. Step 2: Convert to fraction form
    12,964.09/17,885.12 = 9,615.15/x
  3. Step 3: Cross multiply
    12,964.09x = 17,885.12 × 9,615.15
  4. Step 4: Simplify right side
    12,964.09x = 171,968,022.14
  5. Step 5: Solve for x
    x = 171,968,022.14/12,964.09
  6. Step 6: Final answer
    x = 13,264.95

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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.