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Finding the Fourth Proportional to 9,621.86, 13,287.33 and 9,097.69

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Solution

The fourth proportional to 9,621.86, 13,287.33 and 9,097.69 is: 12,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.86 : 13,287.33 = 9,097.69 : x
  2. Step 2: Convert to fraction form
    9,621.86/13,287.33 = 9,097.69/x
  3. Step 3: Cross multiply
    9,621.86x = 13,287.33 × 9,097.69
  4. Step 4: Simplify right side
    9,621.86x = 120,884,025.88
  5. Step 5: Solve for x
    x = 120,884,025.88/9,621.86
  6. Step 6: Final answer
    x = 12,563.47

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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.