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Finding the Fourth Proportional to 10,339.62, 14,276.97 and 7,190.34

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Solution

The fourth proportional to 10,339.62, 14,276.97 and 7,190.34 is: 9,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.62 : 14,276.97 = 7,190.34 : x
  2. Step 2: Convert to fraction form
    10,339.62/14,276.97 = 7,190.34/x
  3. Step 3: Cross multiply
    10,339.62x = 14,276.97 × 7,190.34
  4. Step 4: Simplify right side
    10,339.62x = 102,656,268.47
  5. Step 5: Solve for x
    x = 102,656,268.47/10,339.62
  6. Step 6: Final answer
    x = 9,928.44

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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.