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Finding the Fourth Proportional to 9,576.41, 14,355.83 and 4,030.16

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Solution

The fourth proportional to 9,576.41, 14,355.83 and 4,030.16 is: 6,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.41 : 14,355.83 = 4,030.16 : x
  2. Step 2: Convert to fraction form
    9,576.41/14,355.83 = 4,030.16/x
  3. Step 3: Cross multiply
    9,576.41x = 14,355.83 × 4,030.16
  4. Step 4: Simplify right side
    9,576.41x = 57,856,230.13
  5. Step 5: Solve for x
    x = 57,856,230.13/9,576.41
  6. Step 6: Final answer
    x = 6,041.54

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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.