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Finding the Fourth Proportional to 9,785.55, 14,675.36 and 2,765.01

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Solution

The fourth proportional to 9,785.55, 14,675.36 and 2,765.01 is: 4,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.55 : 14,675.36 = 2,765.01 : x
  2. Step 2: Convert to fraction form
    9,785.55/14,675.36 = 2,765.01/x
  3. Step 3: Cross multiply
    9,785.55x = 14,675.36 × 2,765.01
  4. Step 4: Simplify right side
    9,785.55x = 40,577,503.33
  5. Step 5: Solve for x
    x = 40,577,503.33/9,785.55
  6. Step 6: Final answer
    x = 4,146.68

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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.