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Finding the Fourth Proportional to 10,333, 14,297.07 and 9,009.46

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Solution

The fourth proportional to 10,333, 14,297.07 and 9,009.46 is: 12,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333 : 14,297.07 = 9,009.46 : x
  2. Step 2: Convert to fraction form
    10,333/14,297.07 = 9,009.46/x
  3. Step 3: Cross multiply
    10,333x = 14,297.07 × 9,009.46
  4. Step 4: Simplify right side
    10,333x = 128,808,880.28
  5. Step 5: Solve for x
    x = 128,808,880.28/10,333
  6. Step 6: Final answer
    x = 12,465.78

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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.