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Finding the Fourth Proportional to 9,788.80, 14,764.24 and 9,140.80

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Solution

The fourth proportional to 9,788.80, 14,764.24 and 9,140.80 is: 13,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.80 : 14,764.24 = 9,140.80 : x
  2. Step 2: Convert to fraction form
    9,788.80/14,764.24 = 9,140.80/x
  3. Step 3: Cross multiply
    9,788.80x = 14,764.24 × 9,140.80
  4. Step 4: Simplify right side
    9,788.80x = 134,956,964.99
  5. Step 5: Solve for x
    x = 134,956,964.99/9,788.80
  6. Step 6: Final answer
    x = 13,786.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.