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Finding the Fourth Proportional to 9,932.63, 13,707.41 and 5,456.57

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Solution

The fourth proportional to 9,932.63, 13,707.41 and 5,456.57 is: 7,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 13,707.41 = 5,456.57 : x
  2. Step 2: Convert to fraction form
    9,932.63/13,707.41 = 5,456.57/x
  3. Step 3: Cross multiply
    9,932.63x = 13,707.41 × 5,456.57
  4. Step 4: Simplify right side
    9,932.63x = 74,795,346.36
  5. Step 5: Solve for x
    x = 74,795,346.36/9,932.63
  6. Step 6: Final answer
    x = 7,530.27

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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.