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Finding the Fourth Proportional to 9,488.00, 13,072.07 and 6,614.03

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Solution

The fourth proportional to 9,488.00, 13,072.07 and 6,614.03 is: 9,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.00 : 13,072.07 = 6,614.03 : x
  2. Step 2: Convert to fraction form
    9,488.00/13,072.07 = 6,614.03/x
  3. Step 3: Cross multiply
    9,488.00x = 13,072.07 × 6,614.03
  4. Step 4: Simplify right side
    9,488.00x = 86,458,964.71
  5. Step 5: Solve for x
    x = 86,458,964.71/9,488.00
  6. Step 6: Final answer
    x = 9,112.46

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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.