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Finding the Fourth Proportional to 9,548.54, 13,177.98 and 5,356.82

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Solution

The fourth proportional to 9,548.54, 13,177.98 and 5,356.82 is: 7,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.54 : 13,177.98 = 5,356.82 : x
  2. Step 2: Convert to fraction form
    9,548.54/13,177.98 = 5,356.82/x
  3. Step 3: Cross multiply
    9,548.54x = 13,177.98 × 5,356.82
  4. Step 4: Simplify right side
    9,548.54x = 70,592,066.82
  5. Step 5: Solve for x
    x = 70,592,066.82/9,548.54
  6. Step 6: Final answer
    x = 7,392.97

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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.