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Finding the Fourth Proportional to 9,513.09, 14,265.32 and 7,323.21

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Solution

The fourth proportional to 9,513.09, 14,265.32 and 7,323.21 is: 10,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.09 : 14,265.32 = 7,323.21 : x
  2. Step 2: Convert to fraction form
    9,513.09/14,265.32 = 7,323.21/x
  3. Step 3: Cross multiply
    9,513.09x = 14,265.32 × 7,323.21
  4. Step 4: Simplify right side
    9,513.09x = 104,467,897.46
  5. Step 5: Solve for x
    x = 104,467,897.46/9,513.09
  6. Step 6: Final answer
    x = 10,981.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.