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Finding the Fourth Proportional to 7,144.49, 9,859.98 and 4,160.14

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Solution

The fourth proportional to 7,144.49, 9,859.98 and 4,160.14 is: 5,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.49 : 9,859.98 = 4,160.14 : x
  2. Step 2: Convert to fraction form
    7,144.49/9,859.98 = 4,160.14/x
  3. Step 3: Cross multiply
    7,144.49x = 9,859.98 × 4,160.14
  4. Step 4: Simplify right side
    7,144.49x = 41,018,943.61
  5. Step 5: Solve for x
    x = 41,018,943.61/7,144.49
  6. Step 6: Final answer
    x = 5,741.34

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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.