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Finding the Fourth Proportional to 6,792.34, 9,370.10 and 4,135.14

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Solution

The fourth proportional to 6,792.34, 9,370.10 and 4,135.14 is: 5,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.34 : 9,370.10 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    6,792.34/9,370.10 = 4,135.14/x
  3. Step 3: Cross multiply
    6,792.34x = 9,370.10 × 4,135.14
  4. Step 4: Simplify right side
    6,792.34x = 38,746,675.31
  5. Step 5: Solve for x
    x = 38,746,675.31/6,792.34
  6. Step 6: Final answer
    x = 5,704.47

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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.