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Finding the Fourth Proportional to 9,644.40, 14,463 and 4,098.17

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Solution

The fourth proportional to 9,644.40, 14,463 and 4,098.17 is: 6,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.40 : 14,463 = 4,098.17 : x
  2. Step 2: Convert to fraction form
    9,644.40/14,463 = 4,098.17/x
  3. Step 3: Cross multiply
    9,644.40x = 14,463 × 4,098.17
  4. Step 4: Simplify right side
    9,644.40x = 59,271,760.40
  5. Step 5: Solve for x
    x = 59,271,760.40/9,644.40
  6. Step 6: Final answer
    x = 6,145.72

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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.