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Finding the Fourth Proportional to 9,557.58, 14,337.81 and 2,982.36

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Solution

The fourth proportional to 9,557.58, 14,337.81 and 2,982.36 is: 4,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.58 : 14,337.81 = 2,982.36 : x
  2. Step 2: Convert to fraction form
    9,557.58/14,337.81 = 2,982.36/x
  3. Step 3: Cross multiply
    9,557.58x = 14,337.81 × 2,982.36
  4. Step 4: Simplify right side
    9,557.58x = 42,760,511.03
  5. Step 5: Solve for x
    x = 42,760,511.03/9,557.58
  6. Step 6: Final answer
    x = 4,473.99

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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.