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Finding the Fourth Proportional to 9,848, 14,772.96 and 4,376

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Solution

The fourth proportional to 9,848, 14,772.96 and 4,376 is: 6,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848 : 14,772.96 = 4,376 : x
  2. Step 2: Convert to fraction form
    9,848/14,772.96 = 4,376/x
  3. Step 3: Cross multiply
    9,848x = 14,772.96 × 4,376
  4. Step 4: Simplify right side
    9,848x = 64,646,472.96
  5. Step 5: Solve for x
    x = 64,646,472.96/9,848
  6. Step 6: Final answer
    x = 6,564.43

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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.