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Finding the Fourth Proportional to 6,827.32, 9,423.18 and 4,033.24

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Solution

The fourth proportional to 6,827.32, 9,423.18 and 4,033.24 is: 5,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.32 : 9,423.18 = 4,033.24 : x
  2. Step 2: Convert to fraction form
    6,827.32/9,423.18 = 4,033.24/x
  3. Step 3: Cross multiply
    6,827.32x = 9,423.18 × 4,033.24
  4. Step 4: Simplify right side
    6,827.32x = 38,005,946.50
  5. Step 5: Solve for x
    x = 38,005,946.50/6,827.32
  6. Step 6: Final answer
    x = 5,566.74

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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.