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Finding the Fourth Proportional to 6,471.86, 9,707.58 and 1,792.14

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Solution

The fourth proportional to 6,471.86, 9,707.58 and 1,792.14 is: 2,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.86 : 9,707.58 = 1,792.14 : x
  2. Step 2: Convert to fraction form
    6,471.86/9,707.58 = 1,792.14/x
  3. Step 3: Cross multiply
    6,471.86x = 9,707.58 × 1,792.14
  4. Step 4: Simplify right side
    6,471.86x = 17,397,342.42
  5. Step 5: Solve for x
    x = 17,397,342.42/6,471.86
  6. Step 6: Final answer
    x = 2,688.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.