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Finding the Fourth Proportional to 12,414.91, 17,130.13 and 6,964.16

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Solution

The fourth proportional to 12,414.91, 17,130.13 and 6,964.16 is: 9,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.91 : 17,130.13 = 6,964.16 : x
  2. Step 2: Convert to fraction form
    12,414.91/17,130.13 = 6,964.16/x
  3. Step 3: Cross multiply
    12,414.91x = 17,130.13 × 6,964.16
  4. Step 4: Simplify right side
    12,414.91x = 119,296,931.32
  5. Step 5: Solve for x
    x = 119,296,931.32/12,414.91
  6. Step 6: Final answer
    x = 9,609.17

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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.