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Finding the Fourth Proportional to 7,226.41, 9,969.64 and 4,536.49

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Solution

The fourth proportional to 7,226.41, 9,969.64 and 4,536.49 is: 6,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.41 : 9,969.64 = 4,536.49 : x
  2. Step 2: Convert to fraction form
    7,226.41/9,969.64 = 4,536.49/x
  3. Step 3: Cross multiply
    7,226.41x = 9,969.64 × 4,536.49
  4. Step 4: Simplify right side
    7,226.41x = 45,227,165.46
  5. Step 5: Solve for x
    x = 45,227,165.46/7,226.41
  6. Step 6: Final answer
    x = 6,258.59

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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.