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Finding the Fourth Proportional to 9,746.56, 13,449.21 and 5,496.67

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Solution

The fourth proportional to 9,746.56, 13,449.21 and 5,496.67 is: 7,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.56 : 13,449.21 = 5,496.67 : x
  2. Step 2: Convert to fraction form
    9,746.56/13,449.21 = 5,496.67/x
  3. Step 3: Cross multiply
    9,746.56x = 13,449.21 × 5,496.67
  4. Step 4: Simplify right side
    9,746.56x = 73,925,869.13
  5. Step 5: Solve for x
    x = 73,925,869.13/9,746.56
  6. Step 6: Final answer
    x = 7,584.82

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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.