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Finding the Fourth Proportional to 6,423.24, 9,612.95 and 5,384.42

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Solution

The fourth proportional to 6,423.24, 9,612.95 and 5,384.42 is: 8,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.24 : 9,612.95 = 5,384.42 : x
  2. Step 2: Convert to fraction form
    6,423.24/9,612.95 = 5,384.42/x
  3. Step 3: Cross multiply
    6,423.24x = 9,612.95 × 5,384.42
  4. Step 4: Simplify right side
    6,423.24x = 51,760,085.25
  5. Step 5: Solve for x
    x = 51,760,085.25/6,423.24
  6. Step 6: Final answer
    x = 8,058.25

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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.