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Finding the Fourth Proportional to 9,727.60, 13,423.94 and 5,478.67

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Solution

The fourth proportional to 9,727.60, 13,423.94 and 5,478.67 is: 7,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.60 : 13,423.94 = 5,478.67 : x
  2. Step 2: Convert to fraction form
    9,727.60/13,423.94 = 5,478.67/x
  3. Step 3: Cross multiply
    9,727.60x = 13,423.94 × 5,478.67
  4. Step 4: Simplify right side
    9,727.60x = 73,545,340.35
  5. Step 5: Solve for x
    x = 73,545,340.35/9,727.60
  6. Step 6: Final answer
    x = 7,560.48

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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.