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Finding the Fourth Proportional to 9,874.88, 14,815.04 and 4,035.52

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Solution

The fourth proportional to 9,874.88, 14,815.04 and 4,035.52 is: 6,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.88 : 14,815.04 = 4,035.52 : x
  2. Step 2: Convert to fraction form
    9,874.88/14,815.04 = 4,035.52/x
  3. Step 3: Cross multiply
    9,874.88x = 14,815.04 × 4,035.52
  4. Step 4: Simplify right side
    9,874.88x = 59,786,390.22
  5. Step 5: Solve for x
    x = 59,786,390.22/9,874.88
  6. Step 6: Final answer
    x = 6,054.39

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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.