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Finding the Fourth Proportional to 9,475.89, 14,208.81 and 2,900.31

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Solution

The fourth proportional to 9,475.89, 14,208.81 and 2,900.31 is: 4,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.89 : 14,208.81 = 2,900.31 : x
  2. Step 2: Convert to fraction form
    9,475.89/14,208.81 = 2,900.31/x
  3. Step 3: Cross multiply
    9,475.89x = 14,208.81 × 2,900.31
  4. Step 4: Simplify right side
    9,475.89x = 41,209,996.50
  5. Step 5: Solve for x
    x = 41,209,996.50/9,475.89
  6. Step 6: Final answer
    x = 4,348.93

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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.