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Finding the Fourth Proportional to 10,367.69, 14,302.86 and 7,009.29

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Solution

The fourth proportional to 10,367.69, 14,302.86 and 7,009.29 is: 9,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.69 : 14,302.86 = 7,009.29 : x
  2. Step 2: Convert to fraction form
    10,367.69/14,302.86 = 7,009.29/x
  3. Step 3: Cross multiply
    10,367.69x = 14,302.86 × 7,009.29
  4. Step 4: Simplify right side
    10,367.69x = 100,252,893.57
  5. Step 5: Solve for x
    x = 100,252,893.57/10,367.69
  6. Step 6: Final answer
    x = 9,669.75

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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.