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Finding the Fourth Proportional to 6,129.84, 9,192.32 and 3,210.60

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Solution

The fourth proportional to 6,129.84, 9,192.32 and 3,210.60 is: 4,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.84 : 9,192.32 = 3,210.60 : x
  2. Step 2: Convert to fraction form
    6,129.84/9,192.32 = 3,210.60/x
  3. Step 3: Cross multiply
    6,129.84x = 9,192.32 × 3,210.60
  4. Step 4: Simplify right side
    6,129.84x = 29,512,862.59
  5. Step 5: Solve for x
    x = 29,512,862.59/6,129.84
  6. Step 6: Final answer
    x = 4,814.62

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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.