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Finding the Fourth Proportional to 9,541.60, 14,315.40 and 4,611.40

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Solution

The fourth proportional to 9,541.60, 14,315.40 and 4,611.40 is: 6,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.60 : 14,315.40 = 4,611.40 : x
  2. Step 2: Convert to fraction form
    9,541.60/14,315.40 = 4,611.40/x
  3. Step 3: Cross multiply
    9,541.60x = 14,315.40 × 4,611.40
  4. Step 4: Simplify right side
    9,541.60x = 66,014,035.56
  5. Step 5: Solve for x
    x = 66,014,035.56/9,541.60
  6. Step 6: Final answer
    x = 6,918.55

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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.