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Finding the Fourth Proportional to 9,874.56, 14,809.32 and 4,030.08

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Solution

The fourth proportional to 9,874.56, 14,809.32 and 4,030.08 is: 6,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.56 : 14,809.32 = 4,030.08 : x
  2. Step 2: Convert to fraction form
    9,874.56/14,809.32 = 4,030.08/x
  3. Step 3: Cross multiply
    9,874.56x = 14,809.32 × 4,030.08
  4. Step 4: Simplify right side
    9,874.56x = 59,682,744.35
  5. Step 5: Solve for x
    x = 59,682,744.35/9,874.56
  6. Step 6: Final answer
    x = 6,044.09

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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.