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Finding the Fourth Proportional to 9,953.92, 13,733.56 and 6,419.16

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Solution

The fourth proportional to 9,953.92, 13,733.56 and 6,419.16 is: 8,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.92 : 13,733.56 = 6,419.16 : x
  2. Step 2: Convert to fraction form
    9,953.92/13,733.56 = 6,419.16/x
  3. Step 3: Cross multiply
    9,953.92x = 13,733.56 × 6,419.16
  4. Step 4: Simplify right side
    9,953.92x = 88,157,919.01
  5. Step 5: Solve for x
    x = 88,157,919.01/9,953.92
  6. Step 6: Final answer
    x = 8,856.60

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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.