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Finding the Fourth Proportional to 9,614.04, 14,423.04 and 3,040.86

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Solution

The fourth proportional to 9,614.04, 14,423.04 and 3,040.86 is: 4,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.04 : 14,423.04 = 3,040.86 : x
  2. Step 2: Convert to fraction form
    9,614.04/14,423.04 = 3,040.86/x
  3. Step 3: Cross multiply
    9,614.04x = 14,423.04 × 3,040.86
  4. Step 4: Simplify right side
    9,614.04x = 43,858,445.41
  5. Step 5: Solve for x
    x = 43,858,445.41/9,614.04
  6. Step 6: Final answer
    x = 4,561.92

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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.