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Finding the Fourth Proportional to 9,932.69, 13,707.16 and 5,456.34

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Solution

The fourth proportional to 9,932.69, 13,707.16 and 5,456.34 is: 7,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.69 : 13,707.16 = 5,456.34 : x
  2. Step 2: Convert to fraction form
    9,932.69/13,707.16 = 5,456.34/x
  3. Step 3: Cross multiply
    9,932.69x = 13,707.16 × 5,456.34
  4. Step 4: Simplify right side
    9,932.69x = 74,790,911.75
  5. Step 5: Solve for x
    x = 74,790,911.75/9,932.69
  6. Step 6: Final answer
    x = 7,529.77

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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.