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Finding the Fourth Proportional to 9,650.12, 13,315.74 and 5,458.28

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Solution

The fourth proportional to 9,650.12, 13,315.74 and 5,458.28 is: 7,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.12 : 13,315.74 = 5,458.28 : x
  2. Step 2: Convert to fraction form
    9,650.12/13,315.74 = 5,458.28/x
  3. Step 3: Cross multiply
    9,650.12x = 13,315.74 × 5,458.28
  4. Step 4: Simplify right side
    9,650.12x = 72,681,037.33
  5. Step 5: Solve for x
    x = 72,681,037.33/9,650.12
  6. Step 6: Final answer
    x = 7,531.62

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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.