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Finding the Fourth Proportional to 9,548.67, 13,177.76 and 6,356.46

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Solution

The fourth proportional to 9,548.67, 13,177.76 and 6,356.46 is: 8,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.67 : 13,177.76 = 6,356.46 : x
  2. Step 2: Convert to fraction form
    9,548.67/13,177.76 = 6,356.46/x
  3. Step 3: Cross multiply
    9,548.67x = 13,177.76 × 6,356.46
  4. Step 4: Simplify right side
    9,548.67x = 83,763,872.55
  5. Step 5: Solve for x
    x = 83,763,872.55/9,548.67
  6. Step 6: Final answer
    x = 8,772.31

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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.