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Finding the Fourth Proportional to 9,570.96, 14,359.32 and 2,997.84

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Solution

The fourth proportional to 9,570.96, 14,359.32 and 2,997.84 is: 4,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.96 : 14,359.32 = 2,997.84 : x
  2. Step 2: Convert to fraction form
    9,570.96/14,359.32 = 2,997.84/x
  3. Step 3: Cross multiply
    9,570.96x = 14,359.32 × 2,997.84
  4. Step 4: Simplify right side
    9,570.96x = 43,046,943.87
  5. Step 5: Solve for x
    x = 43,046,943.87/9,570.96
  6. Step 6: Final answer
    x = 4,497.66

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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.