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Finding the Fourth Proportional to 9,709.56, 14,566.62 and 2,784.12

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Solution

The fourth proportional to 9,709.56, 14,566.62 and 2,784.12 is: 4,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.56 : 14,566.62 = 2,784.12 : x
  2. Step 2: Convert to fraction form
    9,709.56/14,566.62 = 2,784.12/x
  3. Step 3: Cross multiply
    9,709.56x = 14,566.62 × 2,784.12
  4. Step 4: Simplify right side
    9,709.56x = 40,555,218.07
  5. Step 5: Solve for x
    x = 40,555,218.07/9,709.56
  6. Step 6: Final answer
    x = 4,176.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.