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Finding the Fourth Proportional to 9,488.40, 14,225.23 and 6,149.60

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Solution

The fourth proportional to 9,488.40, 14,225.23 and 6,149.60 is: 9,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.40 : 14,225.23 = 6,149.60 : x
  2. Step 2: Convert to fraction form
    9,488.40/14,225.23 = 6,149.60/x
  3. Step 3: Cross multiply
    9,488.40x = 14,225.23 × 6,149.60
  4. Step 4: Simplify right side
    9,488.40x = 87,479,474.41
  5. Step 5: Solve for x
    x = 87,479,474.41/9,488.40
  6. Step 6: Final answer
    x = 9,219.62

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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.