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Finding the Fourth Proportional to 9,509.80, 13,096.50 and 9,306.28

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Solution

The fourth proportional to 9,509.80, 13,096.50 and 9,306.28 is: 12,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.80 : 13,096.50 = 9,306.28 : x
  2. Step 2: Convert to fraction form
    9,509.80/13,096.50 = 9,306.28/x
  3. Step 3: Cross multiply
    9,509.80x = 13,096.50 × 9,306.28
  4. Step 4: Simplify right side
    9,509.80x = 121,879,696.02
  5. Step 5: Solve for x
    x = 121,879,696.02/9,509.80
  6. Step 6: Final answer
    x = 12,816.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.