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Finding the Fourth Proportional to 9,902.69, 14,844.03 and 6,207.51

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Solution

The fourth proportional to 9,902.69, 14,844.03 and 6,207.51 is: 9,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.69 : 14,844.03 = 6,207.51 : x
  2. Step 2: Convert to fraction form
    9,902.69/14,844.03 = 6,207.51/x
  3. Step 3: Cross multiply
    9,902.69x = 14,844.03 × 6,207.51
  4. Step 4: Simplify right side
    9,902.69x = 92,144,464.67
  5. Step 5: Solve for x
    x = 92,144,464.67/9,902.69
  6. Step 6: Final answer
    x = 9,305.00

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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.