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Finding the Fourth Proportional to 9,699.34, 13,385.28 and 7,577.34

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Solution

The fourth proportional to 9,699.34, 13,385.28 and 7,577.34 is: 10,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.34 : 13,385.28 = 7,577.34 : x
  2. Step 2: Convert to fraction form
    9,699.34/13,385.28 = 7,577.34/x
  3. Step 3: Cross multiply
    9,699.34x = 13,385.28 × 7,577.34
  4. Step 4: Simplify right side
    9,699.34x = 101,424,817.56
  5. Step 5: Solve for x
    x = 101,424,817.56/9,699.34
  6. Step 6: Final answer
    x = 10,456.88

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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.