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Finding the Fourth Proportional to 9,028.64, 12,455.70 and 6,007.34

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Solution

The fourth proportional to 9,028.64, 12,455.70 and 6,007.34 is: 8,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.64 : 12,455.70 = 6,007.34 : x
  2. Step 2: Convert to fraction form
    9,028.64/12,455.70 = 6,007.34/x
  3. Step 3: Cross multiply
    9,028.64x = 12,455.70 × 6,007.34
  4. Step 4: Simplify right side
    9,028.64x = 74,825,624.84
  5. Step 5: Solve for x
    x = 74,825,624.84/9,028.64
  6. Step 6: Final answer
    x = 8,287.59

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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.