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Finding the Fourth Proportional to 9,920.10, 14,887.34 and 3,681

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Solution

The fourth proportional to 9,920.10, 14,887.34 and 3,681 is: 5,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.10 : 14,887.34 = 3,681 : x
  2. Step 2: Convert to fraction form
    9,920.10/14,887.34 = 3,681/x
  3. Step 3: Cross multiply
    9,920.10x = 14,887.34 × 3,681
  4. Step 4: Simplify right side
    9,920.10x = 54,800,293.94
  5. Step 5: Solve for x
    x = 54,800,293.94/9,920.10
  6. Step 6: Final answer
    x = 5,524.17

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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.