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Finding the Fourth Proportional to 9,203.54, 12,696.56 and 5,665.46

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Solution

The fourth proportional to 9,203.54, 12,696.56 and 5,665.46 is: 7,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.54 : 12,696.56 = 5,665.46 : x
  2. Step 2: Convert to fraction form
    9,203.54/12,696.56 = 5,665.46/x
  3. Step 3: Cross multiply
    9,203.54x = 12,696.56 × 5,665.46
  4. Step 4: Simplify right side
    9,203.54x = 71,931,852.82
  5. Step 5: Solve for x
    x = 71,931,852.82/9,203.54
  6. Step 6: Final answer
    x = 7,815.67

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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.