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Finding the Fourth Proportional to 6,624.64, 9,933.36 and 4,284.32

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Solution

The fourth proportional to 6,624.64, 9,933.36 and 4,284.32 is: 6,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.64 : 9,933.36 = 4,284.32 : x
  2. Step 2: Convert to fraction form
    6,624.64/9,933.36 = 4,284.32/x
  3. Step 3: Cross multiply
    6,624.64x = 9,933.36 × 4,284.32
  4. Step 4: Simplify right side
    6,624.64x = 42,557,692.92
  5. Step 5: Solve for x
    x = 42,557,692.92/6,624.64
  6. Step 6: Final answer
    x = 6,424.15

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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.