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Finding the Fourth Proportional to 6,883.04, 9,497.75 and 3,898.13

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Solution

The fourth proportional to 6,883.04, 9,497.75 and 3,898.13 is: 5,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.04 : 9,497.75 = 3,898.13 : x
  2. Step 2: Convert to fraction form
    6,883.04/9,497.75 = 3,898.13/x
  3. Step 3: Cross multiply
    6,883.04x = 9,497.75 × 3,898.13
  4. Step 4: Simplify right side
    6,883.04x = 37,023,397.23
  5. Step 5: Solve for x
    x = 37,023,397.23/6,883.04
  6. Step 6: Final answer
    x = 5,378.93

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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.