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Finding the Fourth Proportional to 9,732.89, 14,576.65 and 7,534.55

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Solution

The fourth proportional to 9,732.89, 14,576.65 and 7,534.55 is: 11,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.89 : 14,576.65 = 7,534.55 : x
  2. Step 2: Convert to fraction form
    9,732.89/14,576.65 = 7,534.55/x
  3. Step 3: Cross multiply
    9,732.89x = 14,576.65 × 7,534.55
  4. Step 4: Simplify right side
    9,732.89x = 109,828,498.26
  5. Step 5: Solve for x
    x = 109,828,498.26/9,732.89
  6. Step 6: Final answer
    x = 11,284.26

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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.