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Finding the Fourth Proportional to 9,903.40, 14,865.90 and 6,209.80

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Solution

The fourth proportional to 9,903.40, 14,865.90 and 6,209.80 is: 9,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.40 : 14,865.90 = 6,209.80 : x
  2. Step 2: Convert to fraction form
    9,903.40/14,865.90 = 6,209.80/x
  3. Step 3: Cross multiply
    9,903.40x = 14,865.90 × 6,209.80
  4. Step 4: Simplify right side
    9,903.40x = 92,314,265.82
  5. Step 5: Solve for x
    x = 92,314,265.82/9,903.40
  6. Step 6: Final answer
    x = 9,321.47

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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.