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Finding the Fourth Proportional to 9,789.85, 13,510.01 and 5,313.60

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Solution

The fourth proportional to 9,789.85, 13,510.01 and 5,313.60 is: 7,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.85 : 13,510.01 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    9,789.85/13,510.01 = 5,313.60/x
  3. Step 3: Cross multiply
    9,789.85x = 13,510.01 × 5,313.60
  4. Step 4: Simplify right side
    9,789.85x = 71,786,792.88
  5. Step 5: Solve for x
    x = 71,786,792.88/9,789.85
  6. Step 6: Final answer
    x = 7,332.78

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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.