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Finding the Fourth Proportional to 6,427.16, 8,870.14 and 3,909.45

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Solution

The fourth proportional to 6,427.16, 8,870.14 and 3,909.45 is: 5,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.16 : 8,870.14 = 3,909.45 : x
  2. Step 2: Convert to fraction form
    6,427.16/8,870.14 = 3,909.45/x
  3. Step 3: Cross multiply
    6,427.16x = 8,870.14 × 3,909.45
  4. Step 4: Simplify right side
    6,427.16x = 34,677,357.08
  5. Step 5: Solve for x
    x = 34,677,357.08/6,427.16
  6. Step 6: Final answer
    x = 5,395.44

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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.