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Finding the Fourth Proportional to 9,109.21, 13,663.82 and 7,032.25

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Solution

The fourth proportional to 9,109.21, 13,663.82 and 7,032.25 is: 10,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.21 : 13,663.82 = 7,032.25 : x
  2. Step 2: Convert to fraction form
    9,109.21/13,663.82 = 7,032.25/x
  3. Step 3: Cross multiply
    9,109.21x = 13,663.82 × 7,032.25
  4. Step 4: Simplify right side
    9,109.21x = 96,087,364.04
  5. Step 5: Solve for x
    x = 96,087,364.04/9,109.21
  6. Step 6: Final answer
    x = 10,548.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.