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Finding the Fourth Proportional to 6,859.40, 9,466.14 and 3,875.30

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Solution

The fourth proportional to 6,859.40, 9,466.14 and 3,875.30 is: 5,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.40 : 9,466.14 = 3,875.30 : x
  2. Step 2: Convert to fraction form
    6,859.40/9,466.14 = 3,875.30/x
  3. Step 3: Cross multiply
    6,859.40x = 9,466.14 × 3,875.30
  4. Step 4: Simplify right side
    6,859.40x = 36,684,132.34
  5. Step 5: Solve for x
    x = 36,684,132.34/6,859.40
  6. Step 6: Final answer
    x = 5,348.01

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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.