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Finding the Fourth Proportional to 9,544.56, 13,171.32 and 5,295.48

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Solution

The fourth proportional to 9,544.56, 13,171.32 and 5,295.48 is: 7,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.56 : 13,171.32 = 5,295.48 : x
  2. Step 2: Convert to fraction form
    9,544.56/13,171.32 = 5,295.48/x
  3. Step 3: Cross multiply
    9,544.56x = 13,171.32 × 5,295.48
  4. Step 4: Simplify right side
    9,544.56x = 69,748,461.63
  5. Step 5: Solve for x
    x = 69,748,461.63/9,544.56
  6. Step 6: Final answer
    x = 7,307.67

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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.