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Finding the Fourth Proportional to 9,789.81, 13,509.79 and 5,313.52

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Solution

The fourth proportional to 9,789.81, 13,509.79 and 5,313.52 is: 7,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.81 : 13,509.79 = 5,313.52 : x
  2. Step 2: Convert to fraction form
    9,789.81/13,509.79 = 5,313.52/x
  3. Step 3: Cross multiply
    9,789.81x = 13,509.79 × 5,313.52
  4. Step 4: Simplify right side
    9,789.81x = 71,784,539.36
  5. Step 5: Solve for x
    x = 71,784,539.36/9,789.81
  6. Step 6: Final answer
    x = 7,332.58

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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.