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Finding the Fourth Proportional to 9,894.88, 14,842.77 and 5,509.03

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Solution

The fourth proportional to 9,894.88, 14,842.77 and 5,509.03 is: 8,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.88 : 14,842.77 = 5,509.03 : x
  2. Step 2: Convert to fraction form
    9,894.88/14,842.77 = 5,509.03/x
  3. Step 3: Cross multiply
    9,894.88x = 14,842.77 × 5,509.03
  4. Step 4: Simplify right side
    9,894.88x = 81,769,265.21
  5. Step 5: Solve for x
    x = 81,769,265.21/9,894.88
  6. Step 6: Final answer
    x = 8,263.80

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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.