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Finding the Fourth Proportional to 9,789.96, 13,510.20 and 5,313.72

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Solution

The fourth proportional to 9,789.96, 13,510.20 and 5,313.72 is: 7,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.96 : 13,510.20 = 5,313.72 : x
  2. Step 2: Convert to fraction form
    9,789.96/13,510.20 = 5,313.72/x
  3. Step 3: Cross multiply
    9,789.96x = 13,510.20 × 5,313.72
  4. Step 4: Simplify right side
    9,789.96x = 71,789,419.94
  5. Step 5: Solve for x
    x = 71,789,419.94/9,789.96
  6. Step 6: Final answer
    x = 7,332.96

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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.