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Finding the Fourth Proportional to 6,530.60, 9,802.30 and 3,247.40

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Solution

The fourth proportional to 6,530.60, 9,802.30 and 3,247.40 is: 4,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.60 : 9,802.30 = 3,247.40 : x
  2. Step 2: Convert to fraction form
    6,530.60/9,802.30 = 3,247.40/x
  3. Step 3: Cross multiply
    6,530.60x = 9,802.30 × 3,247.40
  4. Step 4: Simplify right side
    6,530.60x = 31,831,989.02
  5. Step 5: Solve for x
    x = 31,831,989.02/6,530.60
  6. Step 6: Final answer
    x = 4,874.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.