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Finding the Fourth Proportional to 9,666.40, 13,346.06 and 7,424.27

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Solution

The fourth proportional to 9,666.40, 13,346.06 and 7,424.27 is: 10,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.40 : 13,346.06 = 7,424.27 : x
  2. Step 2: Convert to fraction form
    9,666.40/13,346.06 = 7,424.27/x
  3. Step 3: Cross multiply
    9,666.40x = 13,346.06 × 7,424.27
  4. Step 4: Simplify right side
    9,666.40x = 99,084,752.88
  5. Step 5: Solve for x
    x = 99,084,752.88/9,666.40
  6. Step 6: Final answer
    x = 10,250.43

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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.