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Finding the Fourth Proportional to 6,108.07, 9,142.05 and 4,639.13

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Solution

The fourth proportional to 6,108.07, 9,142.05 and 4,639.13 is: 6,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.07 : 9,142.05 = 4,639.13 : x
  2. Step 2: Convert to fraction form
    6,108.07/9,142.05 = 4,639.13/x
  3. Step 3: Cross multiply
    6,108.07x = 9,142.05 × 4,639.13
  4. Step 4: Simplify right side
    6,108.07x = 42,411,158.42
  5. Step 5: Solve for x
    x = 42,411,158.42/6,108.07
  6. Step 6: Final answer
    x = 6,943.46

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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.