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Finding the Fourth Proportional to 9,711.37, 14,556.93 and 6,591.62

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Solution

The fourth proportional to 9,711.37, 14,556.93 and 6,591.62 is: 9,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.37 : 14,556.93 = 6,591.62 : x
  2. Step 2: Convert to fraction form
    9,711.37/14,556.93 = 6,591.62/x
  3. Step 3: Cross multiply
    9,711.37x = 14,556.93 × 6,591.62
  4. Step 4: Simplify right side
    9,711.37x = 95,953,762.60
  5. Step 5: Solve for x
    x = 95,953,762.60/9,711.37
  6. Step 6: Final answer
    x = 9,880.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.