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Finding the Fourth Proportional to 9,472, 14,210.72 and 3,233.44

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Solution

The fourth proportional to 9,472, 14,210.72 and 3,233.44 is: 4,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472 : 14,210.72 = 3,233.44 : x
  2. Step 2: Convert to fraction form
    9,472/14,210.72 = 3,233.44/x
  3. Step 3: Cross multiply
    9,472x = 14,210.72 × 3,233.44
  4. Step 4: Simplify right side
    9,472x = 45,949,510.48
  5. Step 5: Solve for x
    x = 45,949,510.48/9,472
  6. Step 6: Final answer
    x = 4,851.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.