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Finding the Fourth Proportional to 6,324, 9,473.58 and 5,964.36

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Solution

The fourth proportional to 6,324, 9,473.58 and 5,964.36 is: 8,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 9,473.58 = 5,964.36 : x
  2. Step 2: Convert to fraction form
    6,324/9,473.58 = 5,964.36/x
  3. Step 3: Cross multiply
    6,324x = 9,473.58 × 5,964.36
  4. Step 4: Simplify right side
    6,324x = 56,503,841.61
  5. Step 5: Solve for x
    x = 56,503,841.61/6,324
  6. Step 6: Final answer
    x = 8,934.83

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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.