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Finding the Fourth Proportional to 9,914.01, 13,681.32 and 5,437.83

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Solution

The fourth proportional to 9,914.01, 13,681.32 and 5,437.83 is: 7,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.01 : 13,681.32 = 5,437.83 : x
  2. Step 2: Convert to fraction form
    9,914.01/13,681.32 = 5,437.83/x
  3. Step 3: Cross multiply
    9,914.01x = 13,681.32 × 5,437.83
  4. Step 4: Simplify right side
    9,914.01x = 74,396,753.84
  5. Step 5: Solve for x
    x = 74,396,753.84/9,914.01
  6. Step 6: Final answer
    x = 7,504.20

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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.