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Finding the Fourth Proportional to 9,670.56, 14,506.30 and 3,011.60

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Solution

The fourth proportional to 9,670.56, 14,506.30 and 3,011.60 is: 4,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.56 : 14,506.30 = 3,011.60 : x
  2. Step 2: Convert to fraction form
    9,670.56/14,506.30 = 3,011.60/x
  3. Step 3: Cross multiply
    9,670.56x = 14,506.30 × 3,011.60
  4. Step 4: Simplify right side
    9,670.56x = 43,687,120.45
  5. Step 5: Solve for x
    x = 43,687,120.45/9,670.56
  6. Step 6: Final answer
    x = 4,517.54

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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.