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Finding the Fourth Proportional to 6,461.16, 9,693.63 and 3,342.93

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Solution

The fourth proportional to 6,461.16, 9,693.63 and 3,342.93 is: 5,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.16 : 9,693.63 = 3,342.93 : x
  2. Step 2: Convert to fraction form
    6,461.16/9,693.63 = 3,342.93/x
  3. Step 3: Cross multiply
    6,461.16x = 9,693.63 × 3,342.93
  4. Step 4: Simplify right side
    6,461.16x = 32,405,126.54
  5. Step 5: Solve for x
    x = 32,405,126.54/6,461.16
  6. Step 6: Final answer
    x = 5,015.37

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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.