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Finding the Fourth Proportional to 9,712.29, 13,402.83 and 5,463.03

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Solution

The fourth proportional to 9,712.29, 13,402.83 and 5,463.03 is: 7,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.29 : 13,402.83 = 5,463.03 : x
  2. Step 2: Convert to fraction form
    9,712.29/13,402.83 = 5,463.03/x
  3. Step 3: Cross multiply
    9,712.29x = 13,402.83 × 5,463.03
  4. Step 4: Simplify right side
    9,712.29x = 73,220,062.37
  5. Step 5: Solve for x
    x = 73,220,062.37/9,712.29
  6. Step 6: Final answer
    x = 7,538.91

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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.