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Finding the Fourth Proportional to 6,937.61, 9,574.00 and 4,104.91

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Solution

The fourth proportional to 6,937.61, 9,574.00 and 4,104.91 is: 5,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.61 : 9,574.00 = 4,104.91 : x
  2. Step 2: Convert to fraction form
    6,937.61/9,574.00 = 4,104.91/x
  3. Step 3: Cross multiply
    6,937.61x = 9,574.00 × 4,104.91
  4. Step 4: Simplify right side
    6,937.61x = 39,300,387.82
  5. Step 5: Solve for x
    x = 39,300,387.82/6,937.61
  6. Step 6: Final answer
    x = 5,664.83

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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.