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Finding the Fourth Proportional to 9,932.01, 14,898.01 and 4,722.09

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Solution

The fourth proportional to 9,932.01, 14,898.01 and 4,722.09 is: 7,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.01 : 14,898.01 = 4,722.09 : x
  2. Step 2: Convert to fraction form
    9,932.01/14,898.01 = 4,722.09/x
  3. Step 3: Cross multiply
    9,932.01x = 14,898.01 × 4,722.09
  4. Step 4: Simplify right side
    9,932.01x = 70,349,744.04
  5. Step 5: Solve for x
    x = 70,349,744.04/9,932.01
  6. Step 6: Final answer
    x = 7,083.13

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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.