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Finding the Fourth Proportional to 6,411.37, 9,614.01 and 4,070.08

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Solution

The fourth proportional to 6,411.37, 9,614.01 and 4,070.08 is: 6,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.37 : 9,614.01 = 4,070.08 : x
  2. Step 2: Convert to fraction form
    6,411.37/9,614.01 = 4,070.08/x
  3. Step 3: Cross multiply
    6,411.37x = 9,614.01 × 4,070.08
  4. Step 4: Simplify right side
    6,411.37x = 39,129,789.82
  5. Step 5: Solve for x
    x = 39,129,789.82/6,411.37
  6. Step 6: Final answer
    x = 6,103.19

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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.