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Finding the Fourth Proportional to 9,842.56, 14,763.77 and 3,603

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Solution

The fourth proportional to 9,842.56, 14,763.77 and 3,603 is: 5,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.56 : 14,763.77 = 3,603 : x
  2. Step 2: Convert to fraction form
    9,842.56/14,763.77 = 3,603/x
  3. Step 3: Cross multiply
    9,842.56x = 14,763.77 × 3,603
  4. Step 4: Simplify right side
    9,842.56x = 53,193,863.31
  5. Step 5: Solve for x
    x = 53,193,863.31/9,842.56
  6. Step 6: Final answer
    x = 5,404.48

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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.