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Finding the Fourth Proportional to 9,880.68, 13,630.77 and 5,686.50

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Solution

The fourth proportional to 9,880.68, 13,630.77 and 5,686.50 is: 7,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.68 : 13,630.77 = 5,686.50 : x
  2. Step 2: Convert to fraction form
    9,880.68/13,630.77 = 5,686.50/x
  3. Step 3: Cross multiply
    9,880.68x = 13,630.77 × 5,686.50
  4. Step 4: Simplify right side
    9,880.68x = 77,511,373.61
  5. Step 5: Solve for x
    x = 77,511,373.61/9,880.68
  6. Step 6: Final answer
    x = 7,844.74

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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.