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Finding the Fourth Proportional to 9,746.32, 13,450.80 and 5,555.92

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Solution

The fourth proportional to 9,746.32, 13,450.80 and 5,555.92 is: 7,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.32 : 13,450.80 = 5,555.92 : x
  2. Step 2: Convert to fraction form
    9,746.32/13,450.80 = 5,555.92/x
  3. Step 3: Cross multiply
    9,746.32x = 13,450.80 × 5,555.92
  4. Step 4: Simplify right side
    9,746.32x = 74,731,568.74
  5. Step 5: Solve for x
    x = 74,731,568.74/9,746.32
  6. Step 6: Final answer
    x = 7,667.67

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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.