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Finding the Fourth Proportional to 9,654.39, 13,313.97 and 7,671.51

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Solution

The fourth proportional to 9,654.39, 13,313.97 and 7,671.51 is: 10,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.39 : 13,313.97 = 7,671.51 : x
  2. Step 2: Convert to fraction form
    9,654.39/13,313.97 = 7,671.51/x
  3. Step 3: Cross multiply
    9,654.39x = 13,313.97 × 7,671.51
  4. Step 4: Simplify right side
    9,654.39x = 102,138,253.99
  5. Step 5: Solve for x
    x = 102,138,253.99/9,654.39
  6. Step 6: Final answer
    x = 10,579.46

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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.