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Finding the Fourth Proportional to 9,677.76, 13,355.52 and 5,486.16

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Solution

The fourth proportional to 9,677.76, 13,355.52 and 5,486.16 is: 7,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.76 : 13,355.52 = 5,486.16 : x
  2. Step 2: Convert to fraction form
    9,677.76/13,355.52 = 5,486.16/x
  3. Step 3: Cross multiply
    9,677.76x = 13,355.52 × 5,486.16
  4. Step 4: Simplify right side
    9,677.76x = 73,270,519.60
  5. Step 5: Solve for x
    x = 73,270,519.60/9,677.76
  6. Step 6: Final answer
    x = 7,571.02

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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.