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Finding the Fourth Proportional to 7,130.60, 9,839.94 and 4,146.52

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Solution

The fourth proportional to 7,130.60, 9,839.94 and 4,146.52 is: 5,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.60 : 9,839.94 = 4,146.52 : x
  2. Step 2: Convert to fraction form
    7,130.60/9,839.94 = 4,146.52/x
  3. Step 3: Cross multiply
    7,130.60x = 9,839.94 × 4,146.52
  4. Step 4: Simplify right side
    7,130.60x = 40,801,508.01
  5. Step 5: Solve for x
    x = 40,801,508.01/7,130.60
  6. Step 6: Final answer
    x = 5,722.03

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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.