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Finding the Fourth Proportional to 8,431.20, 11,643.48 and 6,953.76

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Solution

The fourth proportional to 8,431.20, 11,643.48 and 6,953.76 is: 9,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.20 : 11,643.48 = 6,953.76 : x
  2. Step 2: Convert to fraction form
    8,431.20/11,643.48 = 6,953.76/x
  3. Step 3: Cross multiply
    8,431.20x = 11,643.48 × 6,953.76
  4. Step 4: Simplify right side
    8,431.20x = 80,965,965.48
  5. Step 5: Solve for x
    x = 80,965,965.48/8,431.20
  6. Step 6: Final answer
    x = 9,603.14

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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.