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Finding the Fourth Proportional to 6,285.90, 9,424.98 and 2,125.53

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Solution

The fourth proportional to 6,285.90, 9,424.98 and 2,125.53 is: 3,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.90 : 9,424.98 = 2,125.53 : x
  2. Step 2: Convert to fraction form
    6,285.90/9,424.98 = 2,125.53/x
  3. Step 3: Cross multiply
    6,285.90x = 9,424.98 × 2,125.53
  4. Step 4: Simplify right side
    6,285.90x = 20,033,077.74
  5. Step 5: Solve for x
    x = 20,033,077.74/6,285.90
  6. Step 6: Final answer
    x = 3,186.99

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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.