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Finding the Fourth Proportional to 10,065.86, 15,072.96 and 9,770.31

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Solution

The fourth proportional to 10,065.86, 15,072.96 and 9,770.31 is: 14,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.86 : 15,072.96 = 9,770.31 : x
  2. Step 2: Convert to fraction form
    10,065.86/15,072.96 = 9,770.31/x
  3. Step 3: Cross multiply
    10,065.86x = 15,072.96 × 9,770.31
  4. Step 4: Simplify right side
    10,065.86x = 147,267,491.82
  5. Step 5: Solve for x
    x = 147,267,491.82/10,065.86
  6. Step 6: Final answer
    x = 14,630.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.