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Finding the Fourth Proportional to 9,753.28, 14,611.56 and 4,817.14

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Solution

The fourth proportional to 9,753.28, 14,611.56 and 4,817.14 is: 7,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.28 : 14,611.56 = 4,817.14 : x
  2. Step 2: Convert to fraction form
    9,753.28/14,611.56 = 4,817.14/x
  3. Step 3: Cross multiply
    9,753.28x = 14,611.56 × 4,817.14
  4. Step 4: Simplify right side
    9,753.28x = 70,385,875.55
  5. Step 5: Solve for x
    x = 70,385,875.55/9,753.28
  6. Step 6: Final answer
    x = 7,216.64

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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.