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Finding the Fourth Proportional to 9,633.01, 14,437.70 and 5,476.50

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Solution

The fourth proportional to 9,633.01, 14,437.70 and 5,476.50 is: 8,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.01 : 14,437.70 = 5,476.50 : x
  2. Step 2: Convert to fraction form
    9,633.01/14,437.70 = 5,476.50/x
  3. Step 3: Cross multiply
    9,633.01x = 14,437.70 × 5,476.50
  4. Step 4: Simplify right side
    9,633.01x = 79,068,064.05
  5. Step 5: Solve for x
    x = 79,068,064.05/9,633.01
  6. Step 6: Final answer
    x = 8,208.03

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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.