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Finding the Fourth Proportional to 9,614.37, 14,421.46 and 3,040.55

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Solution

The fourth proportional to 9,614.37, 14,421.46 and 3,040.55 is: 4,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.37 : 14,421.46 = 3,040.55 : x
  2. Step 2: Convert to fraction form
    9,614.37/14,421.46 = 3,040.55/x
  3. Step 3: Cross multiply
    9,614.37x = 14,421.46 × 3,040.55
  4. Step 4: Simplify right side
    9,614.37x = 43,849,170.20
  5. Step 5: Solve for x
    x = 43,849,170.20/9,614.37
  6. Step 6: Final answer
    x = 4,560.79

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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.