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Finding the Fourth Proportional to 9,789.76, 13,509.89 and 5,313.51

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Solution

The fourth proportional to 9,789.76, 13,509.89 and 5,313.51 is: 7,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.76 : 13,509.89 = 5,313.51 : x
  2. Step 2: Convert to fraction form
    9,789.76/13,509.89 = 5,313.51/x
  3. Step 3: Cross multiply
    9,789.76x = 13,509.89 × 5,313.51
  4. Step 4: Simplify right side
    9,789.76x = 71,784,934.38
  5. Step 5: Solve for x
    x = 71,784,934.38/9,789.76
  6. Step 6: Final answer
    x = 7,332.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.