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Finding the Fourth Proportional to 10,072.81, 13,907.26 and 9,007.26

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Solution

The fourth proportional to 10,072.81, 13,907.26 and 9,007.26 is: 12,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.81 : 13,907.26 = 9,007.26 : x
  2. Step 2: Convert to fraction form
    10,072.81/13,907.26 = 9,007.26/x
  3. Step 3: Cross multiply
    10,072.81x = 13,907.26 × 9,007.26
  4. Step 4: Simplify right side
    10,072.81x = 125,266,306.71
  5. Step 5: Solve for x
    x = 125,266,306.71/10,072.81
  6. Step 6: Final answer
    x = 12,436.08

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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.