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Finding the Fourth Proportional to 9,570.46, 14,355.87 and 2,996.86

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Solution

The fourth proportional to 9,570.46, 14,355.87 and 2,996.86 is: 4,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.46 : 14,355.87 = 2,996.86 : x
  2. Step 2: Convert to fraction form
    9,570.46/14,355.87 = 2,996.86/x
  3. Step 3: Cross multiply
    9,570.46x = 14,355.87 × 2,996.86
  4. Step 4: Simplify right side
    9,570.46x = 43,022,532.57
  5. Step 5: Solve for x
    x = 43,022,532.57/9,570.46
  6. Step 6: Final answer
    x = 4,495.35

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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.