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Finding the Fourth Proportional to 9,259.45, 12,777.94 and 5,010.42

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Solution

The fourth proportional to 9,259.45, 12,777.94 and 5,010.42 is: 6,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.45 : 12,777.94 = 5,010.42 : x
  2. Step 2: Convert to fraction form
    9,259.45/12,777.94 = 5,010.42/x
  3. Step 3: Cross multiply
    9,259.45x = 12,777.94 × 5,010.42
  4. Step 4: Simplify right side
    9,259.45x = 64,022,842.53
  5. Step 5: Solve for x
    x = 64,022,842.53/9,259.45
  6. Step 6: Final answer
    x = 6,914.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.