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Finding the Fourth Proportional to 9,914.70, 13,681.88 and 5,933.46

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Solution

The fourth proportional to 9,914.70, 13,681.88 and 5,933.46 is: 8,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.70 : 13,681.88 = 5,933.46 : x
  2. Step 2: Convert to fraction form
    9,914.70/13,681.88 = 5,933.46/x
  3. Step 3: Cross multiply
    9,914.70x = 13,681.88 × 5,933.46
  4. Step 4: Simplify right side
    9,914.70x = 81,180,858.04
  5. Step 5: Solve for x
    x = 81,180,858.04/9,914.70
  6. Step 6: Final answer
    x = 8,187.93

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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.