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Finding the Fourth Proportional to 9,933.38, 13,708.08 and 5,457.36

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Solution

The fourth proportional to 9,933.38, 13,708.08 and 5,457.36 is: 7,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.38 : 13,708.08 = 5,457.36 : x
  2. Step 2: Convert to fraction form
    9,933.38/13,708.08 = 5,457.36/x
  3. Step 3: Cross multiply
    9,933.38x = 13,708.08 × 5,457.36
  4. Step 4: Simplify right side
    9,933.38x = 74,809,927.47
  5. Step 5: Solve for x
    x = 74,809,927.47/9,933.38
  6. Step 6: Final answer
    x = 7,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.