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Finding the Fourth Proportional to 9,555.32, 13,187.00 and 5,778.64

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Solution

The fourth proportional to 9,555.32, 13,187.00 and 5,778.64 is: 7,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.32 : 13,187.00 = 5,778.64 : x
  2. Step 2: Convert to fraction form
    9,555.32/13,187.00 = 5,778.64/x
  3. Step 3: Cross multiply
    9,555.32x = 13,187.00 × 5,778.64
  4. Step 4: Simplify right side
    9,555.32x = 76,202,956.61
  5. Step 5: Solve for x
    x = 76,202,956.61/9,555.32
  6. Step 6: Final answer
    x = 7,974.93

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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.