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Finding the Fourth Proportional to 6,343.38, 9,509.94 and 2,648.40

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Solution

The fourth proportional to 6,343.38, 9,509.94 and 2,648.40 is: 3,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.38 : 9,509.94 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    6,343.38/9,509.94 = 2,648.40/x
  3. Step 3: Cross multiply
    6,343.38x = 9,509.94 × 2,648.40
  4. Step 4: Simplify right side
    6,343.38x = 25,186,125.10
  5. Step 5: Solve for x
    x = 25,186,125.10/6,343.38
  6. Step 6: Final answer
    x = 3,970.46

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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.