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Finding the Fourth Proportional to 7,130.62, 9,840.32 and 3,943.75

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Solution

The fourth proportional to 7,130.62, 9,840.32 and 3,943.75 is: 5,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.62 : 9,840.32 = 3,943.75 : x
  2. Step 2: Convert to fraction form
    7,130.62/9,840.32 = 3,943.75/x
  3. Step 3: Cross multiply
    7,130.62x = 9,840.32 × 3,943.75
  4. Step 4: Simplify right side
    7,130.62x = 38,807,769.37
  5. Step 5: Solve for x
    x = 38,807,769.37/7,130.62
  6. Step 6: Final answer
    x = 5,442.41

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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.