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Finding the Fourth Proportional to 9,933.76, 13,708.54 and 5,457.49

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Solution

The fourth proportional to 9,933.76, 13,708.54 and 5,457.49 is: 7,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.76 : 13,708.54 = 5,457.49 : x
  2. Step 2: Convert to fraction form
    9,933.76/13,708.54 = 5,457.49/x
  3. Step 3: Cross multiply
    9,933.76x = 13,708.54 × 5,457.49
  4. Step 4: Simplify right side
    9,933.76x = 74,814,269.63
  5. Step 5: Solve for x
    x = 74,814,269.63/9,933.76
  6. Step 6: Final answer
    x = 7,531.32

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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.