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Finding the Fourth Proportional to 6,707.84, 9,257.22 and 3,875.74

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Solution

The fourth proportional to 6,707.84, 9,257.22 and 3,875.74 is: 5,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.84 : 9,257.22 = 3,875.74 : x
  2. Step 2: Convert to fraction form
    6,707.84/9,257.22 = 3,875.74/x
  3. Step 3: Cross multiply
    6,707.84x = 9,257.22 × 3,875.74
  4. Step 4: Simplify right side
    6,707.84x = 35,878,554.70
  5. Step 5: Solve for x
    x = 35,878,554.70/6,707.84
  6. Step 6: Final answer
    x = 5,348.75

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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.