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Finding the Fourth Proportional to 9,338.16, 14,009.04 and 3,099.12

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Solution

The fourth proportional to 9,338.16, 14,009.04 and 3,099.12 is: 4,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.16 : 14,009.04 = 3,099.12 : x
  2. Step 2: Convert to fraction form
    9,338.16/14,009.04 = 3,099.12/x
  3. Step 3: Cross multiply
    9,338.16x = 14,009.04 × 3,099.12
  4. Step 4: Simplify right side
    9,338.16x = 43,415,696.04
  5. Step 5: Solve for x
    x = 43,415,696.04/9,338.16
  6. Step 6: Final answer
    x = 4,649.28

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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.