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Finding the Fourth Proportional to 9,740.54, 14,610.72 and 4,197.80

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Solution

The fourth proportional to 9,740.54, 14,610.72 and 4,197.80 is: 6,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.54 : 14,610.72 = 4,197.80 : x
  2. Step 2: Convert to fraction form
    9,740.54/14,610.72 = 4,197.80/x
  3. Step 3: Cross multiply
    9,740.54x = 14,610.72 × 4,197.80
  4. Step 4: Simplify right side
    9,740.54x = 61,332,880.42
  5. Step 5: Solve for x
    x = 61,332,880.42/9,740.54
  6. Step 6: Final answer
    x = 6,296.66

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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.