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Finding the Fourth Proportional to 6,285.14, 9,420.41 and 5,053.94

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Solution

The fourth proportional to 6,285.14, 9,420.41 and 5,053.94 is: 7,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.14 : 9,420.41 = 5,053.94 : x
  2. Step 2: Convert to fraction form
    6,285.14/9,420.41 = 5,053.94/x
  3. Step 3: Cross multiply
    6,285.14x = 9,420.41 × 5,053.94
  4. Step 4: Simplify right side
    6,285.14x = 47,610,152.45
  5. Step 5: Solve for x
    x = 47,610,152.45/6,285.14
  6. Step 6: Final answer
    x = 7,575.04

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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.