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Finding the Fourth Proportional to 8,966.40, 13,435.04 and 5,496.32

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Solution

The fourth proportional to 8,966.40, 13,435.04 and 5,496.32 is: 8,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.40 : 13,435.04 = 5,496.32 : x
  2. Step 2: Convert to fraction form
    8,966.40/13,435.04 = 5,496.32/x
  3. Step 3: Cross multiply
    8,966.40x = 13,435.04 × 5,496.32
  4. Step 4: Simplify right side
    8,966.40x = 73,843,279.05
  5. Step 5: Solve for x
    x = 73,843,279.05/8,966.40
  6. Step 6: Final answer
    x = 8,235.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.