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Finding the Fourth Proportional to 9,896.04, 13,646.16 and 6,910.68

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Solution

The fourth proportional to 9,896.04, 13,646.16 and 6,910.68 is: 9,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.04 : 13,646.16 = 6,910.68 : x
  2. Step 2: Convert to fraction form
    9,896.04/13,646.16 = 6,910.68/x
  3. Step 3: Cross multiply
    9,896.04x = 13,646.16 × 6,910.68
  4. Step 4: Simplify right side
    9,896.04x = 94,304,244.99
  5. Step 5: Solve for x
    x = 94,304,244.99/9,896.04
  6. Step 6: Final answer
    x = 9,529.49

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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.