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Finding the Fourth Proportional to 9,677.48, 13,355.70 and 5,486

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Solution

The fourth proportional to 9,677.48, 13,355.70 and 5,486 is: 7,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.48 : 13,355.70 = 5,486 : x
  2. Step 2: Convert to fraction form
    9,677.48/13,355.70 = 5,486/x
  3. Step 3: Cross multiply
    9,677.48x = 13,355.70 × 5,486
  4. Step 4: Simplify right side
    9,677.48x = 73,269,370.20
  5. Step 5: Solve for x
    x = 73,269,370.20/9,677.48
  6. Step 6: Final answer
    x = 7,571.12

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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.