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Finding the Fourth Proportional to 10,446.16, 14,418.12 and 6,713.68

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Solution

The fourth proportional to 10,446.16, 14,418.12 and 6,713.68 is: 9,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.16 : 14,418.12 = 6,713.68 : x
  2. Step 2: Convert to fraction form
    10,446.16/14,418.12 = 6,713.68/x
  3. Step 3: Cross multiply
    10,446.16x = 14,418.12 × 6,713.68
  4. Step 4: Simplify right side
    10,446.16x = 96,798,643.88
  5. Step 5: Solve for x
    x = 96,798,643.88/10,446.16
  6. Step 6: Final answer
    x = 9,266.43

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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.