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Finding the Fourth Proportional to 9,202.86, 12,707.10 and 7,075.09

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Solution

The fourth proportional to 9,202.86, 12,707.10 and 7,075.09 is: 9,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.86 : 12,707.10 = 7,075.09 : x
  2. Step 2: Convert to fraction form
    9,202.86/12,707.10 = 7,075.09/x
  3. Step 3: Cross multiply
    9,202.86x = 12,707.10 × 7,075.09
  4. Step 4: Simplify right side
    9,202.86x = 89,903,876.14
  5. Step 5: Solve for x
    x = 89,903,876.14/9,202.86
  6. Step 6: Final answer
    x = 9,769.12

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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.