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Finding the Fourth Proportional to 9,914.09, 13,681.54 and 5,437.72

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Solution

The fourth proportional to 9,914.09, 13,681.54 and 5,437.72 is: 7,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.09 : 13,681.54 = 5,437.72 : x
  2. Step 2: Convert to fraction form
    9,914.09/13,681.54 = 5,437.72/x
  3. Step 3: Cross multiply
    9,914.09x = 13,681.54 × 5,437.72
  4. Step 4: Simplify right side
    9,914.09x = 74,396,407.59
  5. Step 5: Solve for x
    x = 74,396,407.59/9,914.09
  6. Step 6: Final answer
    x = 7,504.11

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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.