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Finding the Fourth Proportional to 9,855.42, 14,785.56 and 8,768.01

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Solution

The fourth proportional to 9,855.42, 14,785.56 and 8,768.01 is: 13,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.42 : 14,785.56 = 8,768.01 : x
  2. Step 2: Convert to fraction form
    9,855.42/14,785.56 = 8,768.01/x
  3. Step 3: Cross multiply
    9,855.42x = 14,785.56 × 8,768.01
  4. Step 4: Simplify right side
    9,855.42x = 129,639,937.94
  5. Step 5: Solve for x
    x = 129,639,937.94/9,855.42
  6. Step 6: Final answer
    x = 13,154.18

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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.