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Finding the Fourth Proportional to 10,122.67, 13,963.16 and 6,532.01

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Solution

The fourth proportional to 10,122.67, 13,963.16 and 6,532.01 is: 9,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.67 : 13,963.16 = 6,532.01 : x
  2. Step 2: Convert to fraction form
    10,122.67/13,963.16 = 6,532.01/x
  3. Step 3: Cross multiply
    10,122.67x = 13,963.16 × 6,532.01
  4. Step 4: Simplify right side
    10,122.67x = 91,207,398.28
  5. Step 5: Solve for x
    x = 91,207,398.28/10,122.67
  6. Step 6: Final answer
    x = 9,010.21

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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.