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Finding the Fourth Proportional to 9,504.60, 14,256.90 and 9,115.80

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Solution

The fourth proportional to 9,504.60, 14,256.90 and 9,115.80 is: 13,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.60 : 14,256.90 = 9,115.80 : x
  2. Step 2: Convert to fraction form
    9,504.60/14,256.90 = 9,115.80/x
  3. Step 3: Cross multiply
    9,504.60x = 14,256.90 × 9,115.80
  4. Step 4: Simplify right side
    9,504.60x = 129,963,049.02
  5. Step 5: Solve for x
    x = 129,963,049.02/9,504.60
  6. Step 6: Final answer
    x = 13,673.70

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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.