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Finding the Fourth Proportional to 7,042.12, 9,718.04 and 3,898.37

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Solution

The fourth proportional to 7,042.12, 9,718.04 and 3,898.37 is: 5,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.12 : 9,718.04 = 3,898.37 : x
  2. Step 2: Convert to fraction form
    7,042.12/9,718.04 = 3,898.37/x
  3. Step 3: Cross multiply
    7,042.12x = 9,718.04 × 3,898.37
  4. Step 4: Simplify right side
    7,042.12x = 37,884,496.10
  5. Step 5: Solve for x
    x = 37,884,496.10/7,042.12
  6. Step 6: Final answer
    x = 5,379.70

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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.