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Finding the Fourth Proportional to 10,205.40, 15,308.10 and 9,103.80

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Solution

The fourth proportional to 10,205.40, 15,308.10 and 9,103.80 is: 13,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.40 : 15,308.10 = 9,103.80 : x
  2. Step 2: Convert to fraction form
    10,205.40/15,308.10 = 9,103.80/x
  3. Step 3: Cross multiply
    10,205.40x = 15,308.10 × 9,103.80
  4. Step 4: Simplify right side
    10,205.40x = 139,361,880.78
  5. Step 5: Solve for x
    x = 139,361,880.78/10,205.40
  6. Step 6: Final answer
    x = 13,655.70

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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.