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Finding the Fourth Proportional to 9,830.80, 13,571.40 and 6,475.78

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Solution

The fourth proportional to 9,830.80, 13,571.40 and 6,475.78 is: 8,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.80 : 13,571.40 = 6,475.78 : x
  2. Step 2: Convert to fraction form
    9,830.80/13,571.40 = 6,475.78/x
  3. Step 3: Cross multiply
    9,830.80x = 13,571.40 × 6,475.78
  4. Step 4: Simplify right side
    9,830.80x = 87,885,400.69
  5. Step 5: Solve for x
    x = 87,885,400.69/9,830.80
  6. Step 6: Final answer
    x = 8,939.80

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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.