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Finding the Fourth Proportional to 9,557.76, 13,187.07 and 6,202.56

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Solution

The fourth proportional to 9,557.76, 13,187.07 and 6,202.56 is: 8,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.76 : 13,187.07 = 6,202.56 : x
  2. Step 2: Convert to fraction form
    9,557.76/13,187.07 = 6,202.56/x
  3. Step 3: Cross multiply
    9,557.76x = 13,187.07 × 6,202.56
  4. Step 4: Simplify right side
    9,557.76x = 81,793,592.90
  5. Step 5: Solve for x
    x = 81,793,592.90/9,557.76
  6. Step 6: Final answer
    x = 8,557.82

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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.