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Finding the Fourth Proportional to 9,549.40, 13,178.22 and 5,357.68

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Solution

The fourth proportional to 9,549.40, 13,178.22 and 5,357.68 is: 7,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.40 : 13,178.22 = 5,357.68 : x
  2. Step 2: Convert to fraction form
    9,549.40/13,178.22 = 5,357.68/x
  3. Step 3: Cross multiply
    9,549.40x = 13,178.22 × 5,357.68
  4. Step 4: Simplify right side
    9,549.40x = 70,604,685.73
  5. Step 5: Solve for x
    x = 70,604,685.73/9,549.40
  6. Step 6: Final answer
    x = 7,393.63

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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.