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Finding the Fourth Proportional to 9,614.52, 14,423.22 and 3,038.60

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Solution

The fourth proportional to 9,614.52, 14,423.22 and 3,038.60 is: 4,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.52 : 14,423.22 = 3,038.60 : x
  2. Step 2: Convert to fraction form
    9,614.52/14,423.22 = 3,038.60/x
  3. Step 3: Cross multiply
    9,614.52x = 14,423.22 × 3,038.60
  4. Step 4: Simplify right side
    9,614.52x = 43,826,396.29
  5. Step 5: Solve for x
    x = 43,826,396.29/9,614.52
  6. Step 6: Final answer
    x = 4,558.36

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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.