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Finding the Fourth Proportional to 7,130, 9,839.40 and 3,986.94

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Solution

The fourth proportional to 7,130, 9,839.40 and 3,986.94 is: 5,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130 : 9,839.40 = 3,986.94 : x
  2. Step 2: Convert to fraction form
    7,130/9,839.40 = 3,986.94/x
  3. Step 3: Cross multiply
    7,130x = 9,839.40 × 3,986.94
  4. Step 4: Simplify right side
    7,130x = 39,229,097.44
  5. Step 5: Solve for x
    x = 39,229,097.44/7,130
  6. Step 6: Final answer
    x = 5,501.98

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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.