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Finding the Fourth Proportional to 9,732.42, 14,599.10 and 2,712.42

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Solution

The fourth proportional to 9,732.42, 14,599.10 and 2,712.42 is: 4,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.42 : 14,599.10 = 2,712.42 : x
  2. Step 2: Convert to fraction form
    9,732.42/14,599.10 = 2,712.42/x
  3. Step 3: Cross multiply
    9,732.42x = 14,599.10 × 2,712.42
  4. Step 4: Simplify right side
    9,732.42x = 39,598,897.60
  5. Step 5: Solve for x
    x = 39,598,897.60/9,732.42
  6. Step 6: Final answer
    x = 4,068.76

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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.