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Finding the Fourth Proportional to 9,431.34, 14,148.90 and 4,506.54

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Solution

The fourth proportional to 9,431.34, 14,148.90 and 4,506.54 is: 6,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.34 : 14,148.90 = 4,506.54 : x
  2. Step 2: Convert to fraction form
    9,431.34/14,148.90 = 4,506.54/x
  3. Step 3: Cross multiply
    9,431.34x = 14,148.90 × 4,506.54
  4. Step 4: Simplify right side
    9,431.34x = 63,762,583.81
  5. Step 5: Solve for x
    x = 63,762,583.81/9,431.34
  6. Step 6: Final answer
    x = 6,760.71

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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.