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Finding the Fourth Proportional to 9,407.07, 12,982.32 and 5,375.16

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Solution

The fourth proportional to 9,407.07, 12,982.32 and 5,375.16 is: 7,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.07 : 12,982.32 = 5,375.16 : x
  2. Step 2: Convert to fraction form
    9,407.07/12,982.32 = 5,375.16/x
  3. Step 3: Cross multiply
    9,407.07x = 12,982.32 × 5,375.16
  4. Step 4: Simplify right side
    9,407.07x = 69,782,047.17
  5. Step 5: Solve for x
    x = 69,782,047.17/9,407.07
  6. Step 6: Final answer
    x = 7,418.04

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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.