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Finding the Fourth Proportional to 9,914.22, 13,681.65 and 5,438.01

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Solution

The fourth proportional to 9,914.22, 13,681.65 and 5,438.01 is: 7,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.22 : 13,681.65 = 5,438.01 : x
  2. Step 2: Convert to fraction form
    9,914.22/13,681.65 = 5,438.01/x
  3. Step 3: Cross multiply
    9,914.22x = 13,681.65 × 5,438.01
  4. Step 4: Simplify right side
    9,914.22x = 74,400,949.52
  5. Step 5: Solve for x
    x = 74,400,949.52/9,914.22
  6. Step 6: Final answer
    x = 7,504.47

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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.