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Finding the Fourth Proportional to 9,655.25, 13,325.36 and 5,880.63

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Solution

The fourth proportional to 9,655.25, 13,325.36 and 5,880.63 is: 8,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.25 : 13,325.36 = 5,880.63 : x
  2. Step 2: Convert to fraction form
    9,655.25/13,325.36 = 5,880.63/x
  3. Step 3: Cross multiply
    9,655.25x = 13,325.36 × 5,880.63
  4. Step 4: Simplify right side
    9,655.25x = 78,361,485.81
  5. Step 5: Solve for x
    x = 78,361,485.81/9,655.25
  6. Step 6: Final answer
    x = 8,115.95

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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.