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Finding the Fourth Proportional to 9,762.41, 13,471.60 and 5,728.70

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Solution

The fourth proportional to 9,762.41, 13,471.60 and 5,728.70 is: 7,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.41 : 13,471.60 = 5,728.70 : x
  2. Step 2: Convert to fraction form
    9,762.41/13,471.60 = 5,728.70/x
  3. Step 3: Cross multiply
    9,762.41x = 13,471.60 × 5,728.70
  4. Step 4: Simplify right side
    9,762.41x = 77,174,658.92
  5. Step 5: Solve for x
    x = 77,174,658.92/9,762.41
  6. Step 6: Final answer
    x = 7,905.29

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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.