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Finding the Fourth Proportional to 9,686.87, 14,530.22 and 6,414.60

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Solution

The fourth proportional to 9,686.87, 14,530.22 and 6,414.60 is: 9,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.87 : 14,530.22 = 6,414.60 : x
  2. Step 2: Convert to fraction form
    9,686.87/14,530.22 = 6,414.60/x
  3. Step 3: Cross multiply
    9,686.87x = 14,530.22 × 6,414.60
  4. Step 4: Simplify right side
    9,686.87x = 93,205,549.21
  5. Step 5: Solve for x
    x = 93,205,549.21/9,686.87
  6. Step 6: Final answer
    x = 9,621.84

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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.