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Finding the Fourth Proportional to 9,470.68, 13,076.50 and 6,115.46

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Solution

The fourth proportional to 9,470.68, 13,076.50 and 6,115.46 is: 8,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.68 : 13,076.50 = 6,115.46 : x
  2. Step 2: Convert to fraction form
    9,470.68/13,076.50 = 6,115.46/x
  3. Step 3: Cross multiply
    9,470.68x = 13,076.50 × 6,115.46
  4. Step 4: Simplify right side
    9,470.68x = 79,968,812.69
  5. Step 5: Solve for x
    x = 79,968,812.69/9,470.68
  6. Step 6: Final answer
    x = 8,443.83

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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.