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Finding the Fourth Proportional to 9,933.61, 13,708.70 and 5,457.46

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Solution

The fourth proportional to 9,933.61, 13,708.70 and 5,457.46 is: 7,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.61 : 13,708.70 = 5,457.46 : x
  2. Step 2: Convert to fraction form
    9,933.61/13,708.70 = 5,457.46/x
  3. Step 3: Cross multiply
    9,933.61x = 13,708.70 × 5,457.46
  4. Step 4: Simplify right side
    9,933.61x = 74,814,620.34
  5. Step 5: Solve for x
    x = 74,814,620.34/9,933.61
  6. Step 6: Final answer
    x = 7,531.47

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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.