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Finding the Fourth Proportional to 10,634.66, 14,668.34 and 9,215.84

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Solution

The fourth proportional to 10,634.66, 14,668.34 and 9,215.84 is: 12,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.66 : 14,668.34 = 9,215.84 : x
  2. Step 2: Convert to fraction form
    10,634.66/14,668.34 = 9,215.84/x
  3. Step 3: Cross multiply
    10,634.66x = 14,668.34 × 9,215.84
  4. Step 4: Simplify right side
    10,634.66x = 135,180,955.08
  5. Step 5: Solve for x
    x = 135,180,955.08/10,634.66
  6. Step 6: Final answer
    x = 12,711.36

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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.