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Finding the Fourth Proportional to 9,537.46, 14,308.62 and 5,154.97

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Solution

The fourth proportional to 9,537.46, 14,308.62 and 5,154.97 is: 7,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.46 : 14,308.62 = 5,154.97 : x
  2. Step 2: Convert to fraction form
    9,537.46/14,308.62 = 5,154.97/x
  3. Step 3: Cross multiply
    9,537.46x = 14,308.62 × 5,154.97
  4. Step 4: Simplify right side
    9,537.46x = 73,760,506.84
  5. Step 5: Solve for x
    x = 73,760,506.84/9,537.46
  6. Step 6: Final answer
    x = 7,733.77

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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.