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Finding the Fourth Proportional to 6,476.16, 9,713.58 and 2,777.70

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Solution

The fourth proportional to 6,476.16, 9,713.58 and 2,777.70 is: 4,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.16 : 9,713.58 = 2,777.70 : x
  2. Step 2: Convert to fraction form
    6,476.16/9,713.58 = 2,777.70/x
  3. Step 3: Cross multiply
    6,476.16x = 9,713.58 × 2,777.70
  4. Step 4: Simplify right side
    6,476.16x = 26,981,411.17
  5. Step 5: Solve for x
    x = 26,981,411.17/6,476.16
  6. Step 6: Final answer
    x = 4,166.27

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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.