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Finding the Fourth Proportional to 9,857.20, 14,785.80 and 4,010.80

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Solution

The fourth proportional to 9,857.20, 14,785.80 and 4,010.80 is: 6,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.20 : 14,785.80 = 4,010.80 : x
  2. Step 2: Convert to fraction form
    9,857.20/14,785.80 = 4,010.80/x
  3. Step 3: Cross multiply
    9,857.20x = 14,785.80 × 4,010.80
  4. Step 4: Simplify right side
    9,857.20x = 59,302,886.64
  5. Step 5: Solve for x
    x = 59,302,886.64/9,857.20
  6. Step 6: Final answer
    x = 6,016.20

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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.