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Finding the Fourth Proportional to 9,611.32, 14,405.40 and 6,281.14

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Solution

The fourth proportional to 9,611.32, 14,405.40 and 6,281.14 is: 9,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.32 : 14,405.40 = 6,281.14 : x
  2. Step 2: Convert to fraction form
    9,611.32/14,405.40 = 6,281.14/x
  3. Step 3: Cross multiply
    9,611.32x = 14,405.40 × 6,281.14
  4. Step 4: Simplify right side
    9,611.32x = 90,482,334.16
  5. Step 5: Solve for x
    x = 90,482,334.16/9,611.32
  6. Step 6: Final answer
    x = 9,414.14

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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.