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Finding the Fourth Proportional to 9,732.65, 14,611.12 and 6,599.77

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Solution

The fourth proportional to 9,732.65, 14,611.12 and 6,599.77 is: 9,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.65 : 14,611.12 = 6,599.77 : x
  2. Step 2: Convert to fraction form
    9,732.65/14,611.12 = 6,599.77/x
  3. Step 3: Cross multiply
    9,732.65x = 14,611.12 × 6,599.77
  4. Step 4: Simplify right side
    9,732.65x = 96,429,978.42
  5. Step 5: Solve for x
    x = 96,429,978.42/9,732.65
  6. Step 6: Final answer
    x = 9,907.89

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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.