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Finding the Fourth Proportional to 6,859.84, 9,466.52 and 3,875.62

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Solution

The fourth proportional to 6,859.84, 9,466.52 and 3,875.62 is: 5,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.84 : 9,466.52 = 3,875.62 : x
  2. Step 2: Convert to fraction form
    6,859.84/9,466.52 = 3,875.62/x
  3. Step 3: Cross multiply
    6,859.84x = 9,466.52 × 3,875.62
  4. Step 4: Simplify right side
    6,859.84x = 36,688,634.24
  5. Step 5: Solve for x
    x = 36,688,634.24/6,859.84
  6. Step 6: Final answer
    x = 5,348.32

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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.