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Finding the Fourth Proportional to 7,098.18, 9,792.82 and 4,112.92

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Solution

The fourth proportional to 7,098.18, 9,792.82 and 4,112.92 is: 5,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.18 : 9,792.82 = 4,112.92 : x
  2. Step 2: Convert to fraction form
    7,098.18/9,792.82 = 4,112.92/x
  3. Step 3: Cross multiply
    7,098.18x = 9,792.82 × 4,112.92
  4. Step 4: Simplify right side
    7,098.18x = 40,277,085.23
  5. Step 5: Solve for x
    x = 40,277,085.23/7,098.18
  6. Step 6: Final answer
    x = 5,674.28

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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.