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Finding the Fourth Proportional to 9,709.65, 14,561.36 and 3,134.31

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Solution

The fourth proportional to 9,709.65, 14,561.36 and 3,134.31 is: 4,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.65 : 14,561.36 = 3,134.31 : x
  2. Step 2: Convert to fraction form
    9,709.65/14,561.36 = 3,134.31/x
  3. Step 3: Cross multiply
    9,709.65x = 14,561.36 × 3,134.31
  4. Step 4: Simplify right side
    9,709.65x = 45,639,800.59
  5. Step 5: Solve for x
    x = 45,639,800.59/9,709.65
  6. Step 6: Final answer
    x = 4,700.46

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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.