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Finding the Fourth Proportional to 6,345.84, 8,756.88 and 3,692.64

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Solution

The fourth proportional to 6,345.84, 8,756.88 and 3,692.64 is: 5,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 8,756.88 = 3,692.64 : x
  2. Step 2: Convert to fraction form
    6,345.84/8,756.88 = 3,692.64/x
  3. Step 3: Cross multiply
    6,345.84x = 8,756.88 × 3,692.64
  4. Step 4: Simplify right side
    6,345.84x = 32,336,005.36
  5. Step 5: Solve for x
    x = 32,336,005.36/6,345.84
  6. Step 6: Final answer
    x = 5,095.62

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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.