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Finding the Fourth Proportional to 6,282.32, 9,423.48 and 1,665.32

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Solution

The fourth proportional to 6,282.32, 9,423.48 and 1,665.32 is: 2,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.32 : 9,423.48 = 1,665.32 : x
  2. Step 2: Convert to fraction form
    6,282.32/9,423.48 = 1,665.32/x
  3. Step 3: Cross multiply
    6,282.32x = 9,423.48 × 1,665.32
  4. Step 4: Simplify right side
    6,282.32x = 15,693,109.71
  5. Step 5: Solve for x
    x = 15,693,109.71/6,282.32
  6. Step 6: Final answer
    x = 2,497.98

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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.