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Finding the Fourth Proportional to 9,786.30, 14,679.45 and 4,865.55

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Solution

The fourth proportional to 9,786.30, 14,679.45 and 4,865.55 is: 7,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.30 : 14,679.45 = 4,865.55 : x
  2. Step 2: Convert to fraction form
    9,786.30/14,679.45 = 4,865.55/x
  3. Step 3: Cross multiply
    9,786.30x = 14,679.45 × 4,865.55
  4. Step 4: Simplify right side
    9,786.30x = 71,423,597.95
  5. Step 5: Solve for x
    x = 71,423,597.95/9,786.30
  6. Step 6: Final answer
    x = 7,298.33

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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.