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Finding the Fourth Proportional to 6,296.40, 8,695.35 and 5,188.32

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Solution

The fourth proportional to 6,296.40, 8,695.35 and 5,188.32 is: 7,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 8,695.35 = 5,188.32 : x
  2. Step 2: Convert to fraction form
    6,296.40/8,695.35 = 5,188.32/x
  3. Step 3: Cross multiply
    6,296.40x = 8,695.35 × 5,188.32
  4. Step 4: Simplify right side
    6,296.40x = 45,114,258.31
  5. Step 5: Solve for x
    x = 45,114,258.31/6,296.40
  6. Step 6: Final answer
    x = 7,165.09

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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.