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Finding the Fourth Proportional to 9,785.56, 14,678.46 and 2,860.20

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Solution

The fourth proportional to 9,785.56, 14,678.46 and 2,860.20 is: 4,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.56 : 14,678.46 = 2,860.20 : x
  2. Step 2: Convert to fraction form
    9,785.56/14,678.46 = 2,860.20/x
  3. Step 3: Cross multiply
    9,785.56x = 14,678.46 × 2,860.20
  4. Step 4: Simplify right side
    9,785.56x = 41,983,331.29
  5. Step 5: Solve for x
    x = 41,983,331.29/9,785.56
  6. Step 6: Final answer
    x = 4,290.34

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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.