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Finding the Fourth Proportional to 9,426.75, 13,007.40 and 5,447.10

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Solution

The fourth proportional to 9,426.75, 13,007.40 and 5,447.10 is: 7,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.75 : 13,007.40 = 5,447.10 : x
  2. Step 2: Convert to fraction form
    9,426.75/13,007.40 = 5,447.10/x
  3. Step 3: Cross multiply
    9,426.75x = 13,007.40 × 5,447.10
  4. Step 4: Simplify right side
    9,426.75x = 70,852,608.54
  5. Step 5: Solve for x
    x = 70,852,608.54/9,426.75
  6. Step 6: Final answer
    x = 7,516.12

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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.