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Finding the Fourth Proportional to 8,384.28, 12,564.50 and 6,175.64

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Solution

The fourth proportional to 8,384.28, 12,564.50 and 6,175.64 is: 9,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.28 : 12,564.50 = 6,175.64 : x
  2. Step 2: Convert to fraction form
    8,384.28/12,564.50 = 6,175.64/x
  3. Step 3: Cross multiply
    8,384.28x = 12,564.50 × 6,175.64
  4. Step 4: Simplify right side
    8,384.28x = 77,593,828.78
  5. Step 5: Solve for x
    x = 77,593,828.78/8,384.28
  6. Step 6: Final answer
    x = 9,254.68

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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.