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Finding the Fourth Proportional to 9,199.09, 12,678.33 and 7,509.61

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Solution

The fourth proportional to 9,199.09, 12,678.33 and 7,509.61 is: 10,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.09 : 12,678.33 = 7,509.61 : x
  2. Step 2: Convert to fraction form
    9,199.09/12,678.33 = 7,509.61/x
  3. Step 3: Cross multiply
    9,199.09x = 12,678.33 × 7,509.61
  4. Step 4: Simplify right side
    9,199.09x = 95,209,313.75
  5. Step 5: Solve for x
    x = 95,209,313.75/9,199.09
  6. Step 6: Final answer
    x = 10,349.86

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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.