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Finding the Fourth Proportional to 10,332.75, 14,296.73 and 9,009.21

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Solution

The fourth proportional to 10,332.75, 14,296.73 and 9,009.21 is: 12,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.75 : 14,296.73 = 9,009.21 : x
  2. Step 2: Convert to fraction form
    10,332.75/14,296.73 = 9,009.21/x
  3. Step 3: Cross multiply
    10,332.75x = 14,296.73 × 9,009.21
  4. Step 4: Simplify right side
    10,332.75x = 128,802,197.84
  5. Step 5: Solve for x
    x = 128,802,197.84/10,332.75
  6. Step 6: Final answer
    x = 12,465.43

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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.