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Finding the Fourth Proportional to 9,347.81, 14,017.19 and 4,964.09

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Solution

The fourth proportional to 9,347.81, 14,017.19 and 4,964.09 is: 7,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.81 : 14,017.19 = 4,964.09 : x
  2. Step 2: Convert to fraction form
    9,347.81/14,017.19 = 4,964.09/x
  3. Step 3: Cross multiply
    9,347.81x = 14,017.19 × 4,964.09
  4. Step 4: Simplify right side
    9,347.81x = 69,582,497.80
  5. Step 5: Solve for x
    x = 69,582,497.80/9,347.81
  6. Step 6: Final answer
    x = 7,443.73

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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.