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Finding the Fourth Proportional to 9,859.28, 14,789 and 3,104.88

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Solution

The fourth proportional to 9,859.28, 14,789 and 3,104.88 is: 4,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.28 : 14,789 = 3,104.88 : x
  2. Step 2: Convert to fraction form
    9,859.28/14,789 = 3,104.88/x
  3. Step 3: Cross multiply
    9,859.28x = 14,789 × 3,104.88
  4. Step 4: Simplify right side
    9,859.28x = 45,918,070.32
  5. Step 5: Solve for x
    x = 45,918,070.32/9,859.28
  6. Step 6: Final answer
    x = 4,657.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.