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Finding the Fourth Proportional to 8,894.64, 13,409.49 and 8,418.36

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Solution

The fourth proportional to 8,894.64, 13,409.49 and 8,418.36 is: 12,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.64 : 13,409.49 = 8,418.36 : x
  2. Step 2: Convert to fraction form
    8,894.64/13,409.49 = 8,418.36/x
  3. Step 3: Cross multiply
    8,894.64x = 13,409.49 × 8,418.36
  4. Step 4: Simplify right side
    8,894.64x = 112,885,914.24
  5. Step 5: Solve for x
    x = 112,885,914.24/8,894.64
  6. Step 6: Final answer
    x = 12,691.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.