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Finding the Fourth Proportional to 10,277.44, 14,241.49 and 9,653.20

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Solution

The fourth proportional to 10,277.44, 14,241.49 and 9,653.20 is: 13,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.44 : 14,241.49 = 9,653.20 : x
  2. Step 2: Convert to fraction form
    10,277.44/14,241.49 = 9,653.20/x
  3. Step 3: Cross multiply
    10,277.44x = 14,241.49 × 9,653.20
  4. Step 4: Simplify right side
    10,277.44x = 137,475,951.27
  5. Step 5: Solve for x
    x = 137,475,951.27/10,277.44
  6. Step 6: Final answer
    x = 13,376.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.