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Finding the Fourth Proportional to 9,508, 13,126.80 and 6,201.76

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Solution

The fourth proportional to 9,508, 13,126.80 and 6,201.76 is: 8,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508 : 13,126.80 = 6,201.76 : x
  2. Step 2: Convert to fraction form
    9,508/13,126.80 = 6,201.76/x
  3. Step 3: Cross multiply
    9,508x = 13,126.80 × 6,201.76
  4. Step 4: Simplify right side
    9,508x = 81,409,263.17
  5. Step 5: Solve for x
    x = 81,409,263.17/9,508
  6. Step 6: Final answer
    x = 8,562.19

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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.