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Finding the Fourth Proportional to 6,697.44, 9,240.89 and 4,009.50

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Solution

The fourth proportional to 6,697.44, 9,240.89 and 4,009.50 is: 5,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.44 : 9,240.89 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    6,697.44/9,240.89 = 4,009.50/x
  3. Step 3: Cross multiply
    6,697.44x = 9,240.89 × 4,009.50
  4. Step 4: Simplify right side
    6,697.44x = 37,051,328.41
  5. Step 5: Solve for x
    x = 37,051,328.41/6,697.44
  6. Step 6: Final answer
    x = 5,532.16

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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.