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Finding the Fourth Proportional to 9,530.08, 14,297.54 and 2,866.54

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Solution

The fourth proportional to 9,530.08, 14,297.54 and 2,866.54 is: 4,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.08 : 14,297.54 = 2,866.54 : x
  2. Step 2: Convert to fraction form
    9,530.08/14,297.54 = 2,866.54/x
  3. Step 3: Cross multiply
    9,530.08x = 14,297.54 × 2,866.54
  4. Step 4: Simplify right side
    9,530.08x = 40,984,470.31
  5. Step 5: Solve for x
    x = 40,984,470.31/9,530.08
  6. Step 6: Final answer
    x = 4,300.54

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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.