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Finding the Fourth Proportional to 9,629.40, 14,444.10 and 3,056.10

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Solution

The fourth proportional to 9,629.40, 14,444.10 and 3,056.10 is: 4,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.40 : 14,444.10 = 3,056.10 : x
  2. Step 2: Convert to fraction form
    9,629.40/14,444.10 = 3,056.10/x
  3. Step 3: Cross multiply
    9,629.40x = 14,444.10 × 3,056.10
  4. Step 4: Simplify right side
    9,629.40x = 44,142,614.01
  5. Step 5: Solve for x
    x = 44,142,614.01/9,629.40
  6. Step 6: Final answer
    x = 4,584.15

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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.