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Finding the Fourth Proportional to 9,576.94, 14,362.62 and 3,732.16

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Solution

The fourth proportional to 9,576.94, 14,362.62 and 3,732.16 is: 5,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.94 : 14,362.62 = 3,732.16 : x
  2. Step 2: Convert to fraction form
    9,576.94/14,362.62 = 3,732.16/x
  3. Step 3: Cross multiply
    9,576.94x = 14,362.62 × 3,732.16
  4. Step 4: Simplify right side
    9,576.94x = 53,603,595.86
  5. Step 5: Solve for x
    x = 53,603,595.86/9,576.94
  6. Step 6: Final answer
    x = 5,597.15

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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.