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Finding the Fourth Proportional to 6,429.64, 9,633.44 and 3,510

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Solution

The fourth proportional to 6,429.64, 9,633.44 and 3,510 is: 5,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.64 : 9,633.44 = 3,510 : x
  2. Step 2: Convert to fraction form
    6,429.64/9,633.44 = 3,510/x
  3. Step 3: Cross multiply
    6,429.64x = 9,633.44 × 3,510
  4. Step 4: Simplify right side
    6,429.64x = 33,813,374.40
  5. Step 5: Solve for x
    x = 33,813,374.40/6,429.64
  6. Step 6: Final answer
    x = 5,258.98

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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.