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Finding the Fourth Proportional to 9,484.56, 14,231.40 and 5,101.45

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Solution

The fourth proportional to 9,484.56, 14,231.40 and 5,101.45 is: 7,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.56 : 14,231.40 = 5,101.45 : x
  2. Step 2: Convert to fraction form
    9,484.56/14,231.40 = 5,101.45/x
  3. Step 3: Cross multiply
    9,484.56x = 14,231.40 × 5,101.45
  4. Step 4: Simplify right side
    9,484.56x = 72,600,720.82
  5. Step 5: Solve for x
    x = 72,600,720.82/9,484.56
  6. Step 6: Final answer
    x = 7,654.62

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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.