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Finding the Fourth Proportional to 6,707.81, 9,257.18 and 3,875.70

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Solution

The fourth proportional to 6,707.81, 9,257.18 and 3,875.70 is: 5,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.81 : 9,257.18 = 3,875.70 : x
  2. Step 2: Convert to fraction form
    6,707.81/9,257.18 = 3,875.70/x
  3. Step 3: Cross multiply
    6,707.81x = 9,257.18 × 3,875.70
  4. Step 4: Simplify right side
    6,707.81x = 35,878,052.53
  5. Step 5: Solve for x
    x = 35,878,052.53/6,707.81
  6. Step 6: Final answer
    x = 5,348.70

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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.